{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulating Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Configure plotting in Jupyter\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams.update({\n",
    "    'figure.figsize': (7.5, 7.5),\n",
    "    'axes.spines.right': False,\n",
    "    'axes.spines.left': False,\n",
    "    'axes.spines.top': False,\n",
    "    'axes.spines.bottom': False})\n",
    "# Seed random number generator\n",
    "import random\n",
    "from numpy import random as nprand\n",
    "seed = hash(\"Network Science in Python\") % 2**32\n",
    "nprand.seed(seed)\n",
    "random.seed(seed)\n",
    "# Import NetworkX\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Watts-Strogatz and Small Worlds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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l3CpTxuc3uew3hI4dOwIAPD09sXbtWujq6mLz5s1YuXIl3N3d4eDgUGqafD4f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\nDsf/AzF3Aw2pFaLpAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1129b5898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7.5, 2.25))\n",
    "for i, p in enumerate([0.0, 0.1, 1.0]):\n",
    "    # Generate the graph\n",
    "    G = nx.watts_strogatz_graph(12, 6, p)\n",
    "    # Create layout and draw\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    pos = nx.circular_layout(G)\n",
    "    nx.draw_networkx(G, pos=pos)\n",
    "    plt.title(\"p = {:0.1f}\".format(p))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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blJTEkiVLKFy4MH379uXBgwd0btcqzXcVEWL2z0P1TyyWbcamugnzTbmkb0mvDm0yS0+d\n2rZk4sSJFCxYkPHjx/Ps2TPN737u3DmsrKz49ddfk/X1EXry8fGhVKlShIWFaeKNjo5myJAhWFhY\n4OPjQ0JCAu1bNUvzXXV6ynpS01NGtQTQqmkjOnToQIkSJfj1119Rq9Wa333p0qUUK1aMq1evolar\nqVUwnu7W0TjbFkCSElLoyUBRY6SvoAo/zS/dqhB9fCfNmjWjTZs2xMfHa+nUxcUFBwcHzRxuyyYe\naebxc9ZTtlxQsuTwDXz8rqbo+qsT45D4l5rvT0/uIOlJJAU9v0I/V37tjCbG8/z4FpRQP7y9vRky\nZAj58yeHefbsGU2bNqV8+fIsW7YsxVLrmOfxbPvrDqH3n/E0LpF8JobYWeel/Rcpj505deoUzZo1\nY8mSJbRp0yY5bRFCQkIYN24cISEh5KnZhnz1vFLt+sccWEDCwzAKd56CnpFpmmViYqDHcI9yH3WM\nzkeSYxaUZIae1InxPD+2iSJP/mbSpEm0aNECQ8Pk3/PcuXN4enoyd+5cOnXqlCL9jOhp3rx5+Pj4\nEBgYiI2NDZC85WDjxo1MmTKFe/fukat6K/LV64zofTZ6ylELSlLTU0a0lBw+nmchv1Kv4EumTp1K\n5cqVNUv0ly5dytSpUwkICKBs2bLs2LGDCRMmcPbsWTZu3Mj2fQdp+tUkQu8/Y8PWHdSpUZXo6+fY\n/fNYZk6ewIMHD1izZg3x8fF06NABfX19Nm/erFmsEh0dzYwZM1i6dCkqlYr8tdthXKNdqkPdn7Oe\nsqVx+9DqttfEHtmQ5ookSUqgveFZLPKaEBAQwPHjx6lUqRINGjTg999/p2bNmixfvjzVPUQZ5a+/\n/qJRo0Z07tyZx48f4+/vT548eXB3d8fe3p5dBwO4XrFnCuOW9OQhdxf3AX1DlLf22hVs/BV57F20\nwupWS348maEnVIn0tbzF06h7+Pr6EhYWRsOGDbGzs2PVqlUsWrSIjh07Zkp+582bx/Tp0+nZsyd/\n/fUXISEh2Nvb4+bmRt68eVmxfjOqZhNTVEbZWE85yrilR0/v1RLJqyUHWEVw5fxp/Pz8UBQFd3d3\nAA4dOsThw4cpU6YMcXFxVKhQgRUrVuDm5ka3bt1o2LAh/fsnz4coisK9e/ewt7cnKiqKFy9eUL58\neXbu3ImjoyMJCQm0a9eOmJgY6tatS2BgINevX6dBgwY4Oztz79491m7eQd7u85B39md+7nrKlsYN\n0nb1kC5EjVt5C1b2rqO59PLlS3x9fRk8eDDx8fHExcXRsGFDzTJcBweHVDc3pkVsbCxBQUGaZbWR\nkZG8fPmS3r17M2rUKEqVKqUVvvXs/Zx9qIKPMKafyHVFjjFu8C/1hOBZ0Yql3d+Uf1RUFCtXrmTS\npEnkzp0bIyMjjZbc3NwoUqTIe+JLya1btzRa8vf3R19fnxcvXjBz5kw6d+6MmdmbM/wSEhJo8uNO\nrr/M9d75l7T4BHrKUcYN/qWe1GqqWxmyfXhjIHmk5+rVq0yYMIE9e/ZgYGBAqVKlcHd3Jzo6mkeP\nHrFnzx5EBGtra44dO6apXxRFQUSoVKkSK1aswNHRkVWrVjFnzhy6dOlCQEAAJ06cwMjICAsLCxYv\nXkz9+vU1vbiIiAiGDRvGMX0HjErXzFF6ypZzbgBfOZfFKIMrhF5jamTIMI8KWtcSExOZPn06LVq0\nIDIykvDwcPr06cOVK1do06YN1tbWdO3aldWrVxMREZEizvj4eIKCghg/fjy1a9emePHiLF68GBsb\nGzZt2kRMTAzHjx9n586dnDp1KsXzP3Ssi4nxx63fMTHQZ7Bz2Q8H1JEmXzmXxfAjq1hTQwO+ctEu\n/4iICHx8fFi3bh0PHz7kjz/+oG7duuzevZtKlSphb2/PsGHD2Lt3L8+epVxF9ujRI7Zt28bAgQMp\nW7Ysjo6OBAYG0rhxY/766y8ePHjA9OnTmTZtGjExMVrPGhkZMedLT0yNdHr6VAx2LoOe+sPbMVLD\nUF/h9LofadeuHTdv3kRRFHx9fTlx4gQXL17k0aNHmumSjRs34u/vj5OTE19//TUGBgYUL669WlFE\nqFmzJlOnTqV9+/aMGDGCGzduEBQUhLe3N3fv3uX+/fvY29vj4+ODiPDixQsmTpxI1apVsbe3Z8fU\ngRh+pDXIrnrKtj23O3fu0PDLceh90Z6kDNjg1NyrP3nyhMaNG1OtWjUWLFiQ6lBkWFgY/v7+mpZz\nwYIFqVatGqampkRERHDy5EkqVKigaZ3XqVMHE5OUx828nn+ZN29eimGqj3EXT1I8zvkf8cv4D++d\nyWRyVM9t//79fDn9F/I27ElCBuqk1PR0+vRpmjZtqjXP+jYqlYozZ85oemInTpygUqVKlC1bFrVa\nTWhoKFevXqVBgwYfHDlYsmQJP/74o2b+5W0+Rk+SGE/f6gX5zss53c9kAjmq5yYijBgxggM3/kFV\nqRVxHxjufhs9SWJiq8p0qGrF7Nmz8fHx4YsvvuDatWsEBgZqjfh07doVGxsbxo4dy5EjR5g+fToX\nL15EpVJRu3ZtrKys+OWXX7CxseHp06cYGhry008/4ebmRkREBG3atOHKlSvkzZsXSG7gd+7cmZs3\nbxIdHU3dunWZOXMmJUuWZNeuXQyavZE8DXtk6P8DVQLfNrZjgGuFD4fNPNKlp2x5tmRERAQuLi4M\n7tycZu7OBP1979VwXtrvpCjJbtXfrYhiY2Px9PSkRo0aaRo2gAIFCmBubq7p5l+4cIFbt24RERFB\naGgoFSpUwNPTEw8PD+rWrZuqYQOwsrKiUaNGdO3alWLFiuHg4KC5V7mYGWamhhy7+QjVBxoVolZj\nbKDg7VySbdOGER8fT7169d77TCaTY86W3Lt3L71792b36vmUtLbk6NWH6L1n1RekrafXC4iWLl2a\nqmED0NPTw8rKily5cqEoCnFxcZw6dYr79+8TFhaW3HBr2JBGjRrRqFEj7O3t0xwSr1GjBrlz5+bL\nL7+kRYsWFCxYUHMvo3oyNdKnQ1l9lo7oRv369VP0ALKQHHO2pIjwzTffcOTIEQK3ryHy9k3+jknS\nmpNKDQXBxECfXFcOoFw/SsuWLXFyciIuLo4tW7YAULZsWapUqYKiKAQHBzNr1iw2b95Mnjx5KFKk\nCEuXLsXe3l7TeIqMjOTp06cYGRnh4eHB2bNnmTZtGiVLlqRYsWKcP3+eM2fOaObyTp8+zZYtW7hx\n4walS5fmt99+w8LCgp07dzJgwAD2rVtEMcsCBF+L+uD/B6LG1MgAh8SrBC77gQ4dOmBqmvaCk0zm\n8zxb8vbt2zg7OzN48GD+7//+j3wPz2F8dDGNKhRGUSehvLPZ+vWSas+Khdncv3YKw9aoUSMcHR2Z\nP39+igrk8ePH7Nixg8GDB2Nra0vNmjXx9/enUaNGnDlzhqioKG7fvs3jx4/56aefEBFGjx6NpaUl\nTZo0Yfbs2Zw7dw61WrvlVrlyZQ4dOsTw4cP59ddfte51q23D5v618axYONUl4pIUj5G+QsX8ieQ+\ntoyvGlUmKCiI5cuXM2PGjEwo4f8t9uzZQ58+fdi7dy+Ojo6c3ToPVzmHR8VCSFJChvT0559/0qxZ\nM5YtW0br1q1TpHXz5k2WLVtGx44dKVSoEN27d+fu3bsMGzaM+/fvc/fuXe7du0d4eDi9e/fm8uXL\ntGzZkiJFitC9e3fWrFnDnTspT3no378/3333HS4uLly7dk3r3of0RFICxgZ6FHwRgTsXmP5lM9au\nXUurVq0ICQn5+IL9H0REGD58OMHBwfj6+mJqasqOmcP5rm4eqhfWB1Vi8uctDPWSP6rbZ1jToypH\nf5nGhQsXGDRoELNnz2bNmjVcvHiRvXv3smLFCmrWrMnhw4cZNmwY/fv3Z968ebi6ulKoUCHOnj1L\nxYoVWbp0KU+ePOH27dsAHD16lAYNGpAnTx6qVq1KpUqVGD58OO7u7ixfvpyjR4/So0cPWrduzYAB\nA3jw4AHFixenTZs2bNq0iYEDB/L7779TvXp1/vx1Do30L+FRIfn/492pIT1RJW85uH2GCfXysnPm\nN7i4uODu7s6jR4/+s98iXbze/5DOT5Zy69YtKV26tPj4+IiIyMuXL6V06dJy8OBB2bVrlxjkNpNq\nXiOlz7Ig6fPLSfHedEaWHL4u0c/iUsT16NEjqVGjhgwdOlTUarUmPn9/f/n222+lZs2akjdvXmnc\nuLHMmjVLzp07JyqVKl35fPTokWzfvl0GDRoktra2YmlpKZ07d5YVK1ZIeHi4JtyFCxfEyspKNmzY\nkGo80c/iZMnh6+K96Yz0WnVCGk/8VQrU7SD13RrLw4cPxdHRUVavXi0iInfu3JFy5crJtGnTMlKk\n/4aMaiNbaUlEZNeuXVKoUCE5efKkiIicPn1aChcuLPfv35dBgwaJYZ4C0mLUXPlq3YkP6un48eNi\naWkpu3fv1lyLioqSzZs3S79+/aRUqVJibW0t3bt3lzVr1sidO3fSnc8bN27IsmXLpEOHDmJubi52\ndnby9ddfy2+//SaxsbGacCtWrJCiRYtKaGhoqvG8raeuy46Io/ciyefYVsZPni7Xr1+XggULyq1b\nt0RE5MCBA2JpaSlHjx5Ndz7/BVmtpSzXk1qtliFDhkitWrXk8ePHIiIyZcoUad26tdy5c0ccHBwk\nr4W19J29WYZt+kss230nbuPWSPMRPhL9LE68vLxk3LhxIiLy9OlTKVWqlOTNm1fCwsI08YeGhkqv\nXr3EwMBAFEWRcuXKyfDhw2Xfvn2yd+9ecXR0TJGv5Co8malTp8rQoUPl5MmT8uOPP0rDhg1FT09P\nFEWR+vXry6FDhyQhIUFERBITE6Vu3bpiZGQkISEhIpKs8SJFisjTp08lKChIvqjTUKMny3bfSdlu\nk6Vg3Y6y1zdIVq9eLY6OjqJSqUStVsvIkSOlatWqEh0dnZU/g+a10/PJ8jm39Loqv3XrFq6urnh7\nezN06FAApk2bhp+fH/r6+ly7dg2VSqVprbyPx48f4+HhQb169ejZs6dmLi0kJAQHBwetg0pTc0+T\nUcLDwzVp+Pn5YWZmpknDysqK9u3bM3PmTLp16/bBuJYsWcLMmTN5/vw53bt3Z+PGjVy5coV8+fJx\n7949XF1d6dGjB2PHjk3xbCa7hc+Wc27pfcfffvsteahl3z5q1KiBiNCgQQMqVarEoUOHMDIyol69\neqxYseKDaR4/fpyWLVuyePFi8uXLp3Uo9tsrbitWrJihFbepoVarOXv2rCaNY8eOUalSJU0aoaGh\nTJo0CX9/f8qXL//B+Bo3bsytW7cwNDSkWrVqWsNghw4dolu3buzYsYP69etrPfeZaQmysG4SEYYM\nGcKpU6c4ePAg+fPn586dO1SpUoUePXqwdu1aTExMWL58OU2bNgWSVzEeO3aMfv36ceHCBU34P//8\nkx07drBo0SLMzMzInz8/pUqVwt/fH5VKhZOTE/v27aN58+b8/vvvDBo0iDFjxjB16lQMDAyYPHmy\n1ju8nkaB5JGFXr16cfHiRbZu3cqoUaOoXLkyJ06coGHDhty4cYObN2/SsGFDzM3N2bNnD9WrV0dE\n2LlzJ66urgwePJiePXsyfvx41Go1P/74oyadxMREzMzMMDMzo06dOly7do1vvvmGHj16ICJ8++23\nHDhwAD8/PywstI8g+xR6yjLjlhFX5flVsbi4uPDNN98wZMgQAC5evEjNmjXJlSsX33//Pc+ePSMy\nMpJ58+a9N92zZ8/SqlUrTExMiImJwcLCAnd3dzw8PHByctJaUp0VqNVqLl68iK+vL35+fgQHB1Oy\nZEnCwsIYMmQI33//fZrzdZB8CrydnR1BQUGMHDmSkydP4uHhwdatW4Hk8zFdXV3p2rUr48ePB7LM\nLXy2Mm4ZecebpwIZOHAg+/fvp3r16gBMnz6dqVOnUrJkSebOncvEiRMZP348np6eaaapUqlYs2YN\nQ4cOpUyZMty8eZOqVatqDE2tWrU0G7mziri4OEJCQjReAa5cuYKNjQ3h4eGsXbuWli1bvtegrlq1\nioMHD9KpUyf+7//+j8jISJYvX07Xrl0B8PPzo0uXLmzfvp0GDRp8rlqCLKqbKhXNx9dff82ZM2c4\nePAg+fLl0zSULly4gKenJ2PHjqVhw4ZERUVpGsuvjUGhQoW4dOkS1tbWTJgwgbVr1xIbG4u1tTX3\n79/HwMAAW1tbVq1ahZ2dHSO4IBwzAAAgAElEQVRGjCA2NpaVK1cSERHBmDFjOHz4MIaGhqxevRpn\nZ2etd3nbuKlUKszNzSlXrhwJCQn8/PPPODs7s3v3bkaPHs358+eJjY3lxx9/ZOnSpRQoUAARwdjY\nmISEBCwsLDhz5gx6eno4Ojoyffp0XFxctNJp164dTZo04f79+8yaNQu1Ws3Vq1extrZGRBg3bhx7\n9+7F398fS0vLT6qnLDFuyau4QolLUr13H4iigJG+QvyxjYxsU4evvvqKxMREFi1axOjRo3FwcODg\nwYOYm5vj5uaGt7c3LVq00IojJiaGwMBA/Pz8OHjwIHfu3MHW1paRI0fi7u7+X06ap0p8fDzHjx9n\n06ZNrFy5En19fa3WfpUqVVIscqlSpQpLliyhdu3arF+/nl69elG/fn2WLl2qOVjVxcUFLy8vSjfq\nke6yNjHQZ1xTu/R6zc02xi0jejJQhH+OrGPvz6P54osvePjwIaNHj2bt2rUMHz6c6dOn8/LlS4oU\nKUJkZCS5cuV6kyERbty4oek1HTp0iBcvXtC8eXP69u2Lk5OTZuXZp+LRo0cEBgaycOFC/vjjD8zM\nzPD09NTo6V29R0REUK1aNR4+fEhCQgJ9+vRhy5YtDBs2jAkTJpA/f378/f3x8vJi0OyNbLmW9Dlq\nCbKgbjI20KP0k7PE/rmHAwcOkC9fPk6dOkWfPn0IDQ1l9+7dNG7cmO3bt7NixQp+//33t55PNm4e\nHh6Ym5sTHR1NSEgISUlJtG/fnm+++YYaNWoQHx9P8+bNsbGxYeTIkTRs2JBLly5RuHBhTVwHDhyg\nefPmVK1alXnz5mmdY/ra6Dx48ICxY8eyceNGvLy8WLFiBfr6yYtcRITGjRvTpEkTrK2t8fb25uDB\ng1SqVImbN2+ya9cuRo0aBUC5cuVo0KAB69atIzw8HEtLS610lixZQkhICGvXruXOnTs4OTnx8OFD\nFixYQPfu3VEUhfHjx7Nnzx4GzdnIvD/ufDI9ZfqCkjfLk9//QpDsqjw+STCo1Yn81Zvx+++/U7ly\nZTZu3Ej+/PkJDAzE3NycFy9ecPLkSZydnYmLi8PPz48xY8ZQo0YNSpUqxerVqylevDgmJiZ4e3tz\n6dIlevfu/ckNG4CxsTFOTk4sXryY8+fPY2ZmRvny5QkPD8fLy4vChQvTqVMnli9fzq1btwDw8PDA\n19cXRVHo3r07kydPJjo6mgYNGuDt7Y2xsTFBQUGsPx7O97vOp7usX7uFX3/8Vpa/d2aRUT0lqhXy\nNuzB+Rf5mTVrFvb29ly+fJk2bdowa9YsDAwMCAoKolatWuTKlYuoqCg2bdpE3759KVWqFE5OThw/\nfpyKFStiZGTE3r17+e2332jevPknN2wABQsWpF27dgQEBLB69Wr09PSws7Pj0KFDVK9enfLly/PV\nV1+xc+dOYmNjKV68uKZFbmJiwoYNG6hRowbHjx/Hzs6O5cuX4+zszICf1vHLuac6Lb1CBOIS1Vw2\ntqPPtNX8888/Go8iT58+ZeXKlTRunLwJ29fXFw8PD0SS/aUtWLAASPYIcu3aNf7++29KlSpFyZIl\nWbp0KZcvX6ZGjRoYGBiQO3du9u7dS3h4OI0aNWL06NFahg3g6dOneHp6MnToUDp06ECXLl209uJO\nnz4dBwcHLCwsmDFjBomJiRrDBsmG6eeff2bChAkMHTqUQ4cOaY77KlOmDA8fPqRLly507tyZ3Llz\n8+TJE3LlykXp0qWpV68e33//PZB8eICHhwd+fn6ICMWKFePo0aPo6enh4+ODo6MjISEhTJkyBbvm\n/Zhx8Non1VOm9tzORcTSeflxXiZqb5R4sGEM8feuaJbL6uc1p2j/pdoZUSeiHzifOeOHMWXKFIYM\nGUL37t1RqVQsXryY2bNnU7ZsWY4fP07lypU1LVVHR0eePn2Ku7s7np6eTJ8+/V/Pe2QlV65cwc3N\njUmTJtGnTx8iIiK05uvy5MlD+fLluXnzJkePHsXc3Jz4+HgcHByYPHkyQUFB7Ny5k35jprD1UVHi\n3/Iw+PT0Hv654E9C1C1yV3DCovnwVPNgaqjP5v61qVzsvcMAn7zn9m/0RFICZW7tZuzAbnTs2JGz\nZ89SvHhxXrx4gZeXF48fP+bZs2eEhYXh5OSk0ZOdnR3BwcG0bduW9evX06hRo8x74yxg/fr1jBo1\nCl9fXypUqMD58+c1WgoJCaFixYqoVCqqVavG/PnzMTY25uzZs3h6erJp0yYmTJjAY718JNQfTMI7\n27XSo6dsoiX4yLoJPqwnA9Q83fkDvVu5Ubx4cTZu3EhwcDCKovDgwQOqVKlCnTp1OH36NIqi4OHh\nwapVq3jw4AHPnz+nWrVqWFlZERQUhLW1NW5ubrRt25avv/5ak8b27dvp3r07bdu2Zc2aNVrGqV+/\nfjg4ODBs2DCeP3/OjBkzWLhwIe7u7mzdupVWrVoxa9YsypYtS1hYGHXq1OH+/fta9eDGjRvp378/\njRs3Ztu2bZrr169fp3bt2ly4cIFChQrRp08ffH19GTp0KMOGDdM4Xp4xYwb58uWjQYMGHDt2jBUr\nVtC6dWsURWH69OmEhITQqVMnxowZQ1XXVlwt0fST102ZatzSOpLmwYYx5HZwIW+VtOc3QGhUoTB1\nVBeZP38+/fr1IyAggICAAABsbW0ZN24cTk5O5MuXT/NUVFQUbm5uNGvWjB9//DFbG7bXXL16FTc3\nN77//nsttzsiwqVLl9i3bx/jxo3D1NSU8uXL4+7uTt68eTXLhkNDQ/FaGMA/ZmW0jvN6cSUEFIWX\nYX8hiQlpCiidx+V8cuP2b/SkAJ72hYnaOQ0LCwtKlCiBn58ff/75J2q1mp49e9KjRw9q1qyJgcGb\nPT1Hjhyhbdu2bNy4EQ+PtE9Lz05s3LiRESNGcOjQIa19lfHx8Rw7doyFCxdy6NAhRIS6devi7u7O\niRMnsLa2Zu7cuTSfsZtLj/VSHA2XHj1lEy3BR9ZNkA49iZr6pfKxsHNVypcvz5gxYwgPD8fPz4/w\n8HASEhKYM2cOHh4elC1bFkVRNMN4U6ZMYdKkSRw8eFAzf3XhwgXc3Ny4fPky5ubmJCQk4ODgwPTp\n01m0aBFWVlYaAycilCpViv3791OxYkUgeV3BwIEDCQ0N5cmTJ6xfv54uXbpo6r7Xhy1XrlwZeNMA\n2r59O23atGH//v188cUXALRs2ZJ69eoxevRoIHnerkCBApQrV47Dhw+TO3duILn3Fx0dTWBgIN99\n9x0PHz7EyMgINzc3nJycmDp1KsuWLaNevXo0mbqDcJWZ1lFen6JuyrRhyejn8Ry+GvWRZ/cBKPj9\nfZ8BQ/+P27dvc+zYMVq0aMH58+cpVqwYPj4+tGjRIlXD1qJFi8/GsEHyuHZAQAA//PADy5cv11xX\nFAUHBwdGjx6Nk5MTa9aswcfHB2NjY/bv38/NmzdxcHBg+75DJFjYpqiMcpWvS65yddAzzfduklqI\nQOCVKGKex2fJ+2UG/1ZPAhy4cJfdBwMIDg4mJiaGkSNHcvr0aXLlysXChQupU6eOlmE7fPgwbdu2\n5ddff/1sDBtAly5dmD17Nh4eHly4cEFz3djYGGdnZ1auXIlKpeLy5csMGDCAsLAwzpw5w4IFC/Bs\n1Z7Qp/qpnnmaHj39L2gJRY9jt55i/4UjMTEx7N69G0tLS1auXMmMGTPo0KGDZq/s23XQpEmT2LBh\nA506deLs2bOa65UqVaJjx4589913QLKfNVtbW9q2bcuePXt4+PAhPXr0ICkpievXr5OYmEiFChWI\njIykf//+eHp60qtXL6KjowHw8fGhbt26nDx5EngzrQGwbt06Ro0ahZ+fH3Xq1GHSpEkMHToUEeHg\nwYNcvnwZb29vTd7Cw8PJnTs3lSpVomnTpjx//lxzz9zcnPbt2zN58mQcHR0JDg7GyckJPz8/Hj16\nRIsWLRg2ejz3KJDijMpPUTdlmnFLy/X6a2KD1hAxtwsP1o0kLvx8qmFEraZGxyFERUWxdu1aevTo\ngYGBAbdv36ZmzZpaYR8+fIirqyutWrViypQpn41he42trS2BgYFMnjyZZcuWpbjv4eFBUFAQDRo0\n4IcffiA4OJjjx4/z4MEDgu8lkZjw7xwDZke38G+TWXrq8f0iLl68yJw5c2jatCkhISG4ubmlWMQT\nFBRE+/bt2bRpk+ZEh88JLy8vfv75Zxo1asS5c+e07uXLl4+qVaty8eJF2rRpw8KFC7l+/ToTJkwg\njMKoVR93RuJrPnctwYf1JGo1icW+4OrVqwQEBDB27Fhq1aqFv79/mg2hTZs2ERgYSKtWrTTG5jWT\nJk1i27ZtBAQEMGPGDHx8fAAwNTVl165dREdH0717dw4cOICrq6tm/jhPnjxcuXKFgQMHahpmJ0+e\npH///rRu3ZoePXpQvXp1Dh06xJo1axgzZgz+/v6aXt+XX37Jixcv2LBhA97e3syZM0drO5Svry/u\n7u6sXLkSW1tbmjRpkuJsVFdXV44ePUrRokXp168fmzdv5vHjx3zxxRdcepEHlSp158DpJbP0lGnG\nLS3X6wAFXHpTdOAKin21hjxVG/Nw+2QSH99PEU70DancsLGWofLz88PZ2VmrhR0ZGYmLiwtt2rRh\n0qRJn51he03ZsmUJCAhgypQpLFmyROve262v19SoUYO+ffvy3CA/GPy7JejZ0S3822SGnhQDI/KV\nsNO69nry/20CAwPp0KEDW7Zswc3NLfNe4j+mU6dOzJ07F09PzxQGLjU9jRs3DnU+q1T9eGWEz1lL\nkD49qfUMqOrSXOvsR5VKRUBAgFZjSEQ0CzACAwOxsrLSGIP4+De9kYIFCzJx4kS6du1Kr169KFeu\nnObeawP3+PFjJk6cyMGDBzl8+DDBwcHMmTMnxXYmPT09evfuzZUrVyhWrBgjR44kICCAb7/9Fn9/\nfypUeHPuo76+PnPnzmXIkCEUKVKE5s2ba8X1+v9DT0+PZcuWYWdnR5MmTbTCFCxYEDs7O44dO6YV\n76pVq4h4qk7Vz2BGyCw9/TtVv0VqrtdfY1zkzWbTPJXc+Ofvw7y8cQrDGi1ShE18J0vvVkYPHjzA\n1dWVjh07ksFzMbMlZcuWJTAwEFdXV9RqNYMHDwagWrVqREVFcefOHYoVK6YJP2HCBCp9tQj9EiX+\nddrZzS3822SWnt6OR61W4+fnx7Rp0zTXAgIC6NSpE1u3bk2xh+hzpGPHjiiKgqenJwcOHKBq1apA\nsnEbNGiQVlhDQ0Psq9bgfMy/P3P4c9USpF9PZy6GptqQLlq0aKrxWllZaX1Pa3/r7NmzmT179nvz\nuG/fPvbt25fqvbQa9/fv39cybO8SEBCQ6lm727dvp2fPnh9M5/Uc4ttYtvsuU4xKZugp03puqble\nTxNFIa3537ddlYuIlnF7vb+rU6dOOcKwvaZMmTIEBgYyc+ZMFi5cCCS3xtzc3FK0ts3MzKhS0TZT\n0s1ubuHfJiv09HorRsmSJYHkUYFOnTqxbdu2HGHYXtOhQwcWLlyocZ8DUKtWLcLDw4mMjNQKW7q4\ndaakmWO0BGnqqWuHNlrHO02ZMgVvb29EBLVazbhx43BwcNCU8dthx44dy9ixYzXfX5/sP3LkSEqW\nLMmLFy8QER4+fMjAgQOxtLTkm2++wd7enqZNm9K+fXsSEhJSHDH1bjorVqygWLFiDB48GC8vL6pU\nqUL9+vU5deqUJky/fv348ssvKViwIGFhYZrrJ06cwN7ePkUaqlfD1nXq1OHJkyeICIGBgdSsWTNF\n2OaemTPykRl6yjTjZmeVD+N3D20F1HHPeXnzNJKUgKhVPL8USHzERUxLV08R1sRADzvrN3uJLl++\njKGhIWXLluX+/fu4uLjQpUsXTbc/J1G6dGkCAwP56aefmD9/PpD6UBJAs7pVUxzQCiBqFZKUAGoV\niFpT5qnxbllnN7JCT283lHx9ffHy8mL79u04OTll3Yt8Itq1a8eiRYto0qQJp0+fxsDAAGdnZ/z8\n/LTC2VnlS9NvYnr19LlqCTKgp6QEtiz/mW7duvHLL79w584drf1t48aNY/fu3QQEBFCoUKEU6bz7\nv7xhwwaSkpKYPn06NWrUYPr06fj4+FCxYkUMDQ0JDQ0lf/78NG7cmB07dvDy5Uu8vLxITEy7R7N8\n+XImTpxIQEAAnTt35sqVK5w+fZoePXrQvHlz+vTpw6FDh9i9ezezZs1i2LBhjBjxxlN4akP2gKZ3\nV7VqVTw9PXny5Al16tQhNDSU8PBw9u3bx/Dhw6lUqRL7Ny7PNnVTpm0FSMv1uurFEx5umUjiozug\n6GFoXgyzBt0wLVUtRRzvuiqfO3cuFy9e5IcffsDV1ZVu3bppjpzKqdy6dQsXFxe8vb1p3bo1NWvW\n5MGDB1rDB9HP46kzzY933XjFHtnAk2BtLwT563lh1qBrinTS4Rb+k24FyAo9NWrUiMGDB5MrVy66\ndu3Kjh07aNCgQSa+UvZj586dDBw4kH379nHixAn+/PNPfvnlF839tMoZ0q+nbKAl+Ii6CdKvJ2MD\nPTZ5leVUcJBmH+Hjx4/p27cv0dHRXL16laCgIM2Zim8fiwXJ2zIsLS25desWRkZGlC9fnm3btlG7\ndm1Wr15Nv379aNCgAYsXL9YMJdavX58JEybQqFEj4uPjad++PYaGhmzatEnjSft1OsuWLWPKlCka\nv3+JiYlYWFhw48YNLCwsePLkCVOmTOHnn3+mRYsWbNy4ERGhQoUKrF69GhcXF5ydnRk1apTmfMy3\nURQFtVrNoEGDOHLkCC1btmTp0qW8ePFCs73Ew8ODEuXsqT8zMFvUTZk252aRxxincpYp9pLo58qP\ndS+fDz6vKOBS3lLrhXx9fWnevDkuLi707Nkz1cOCcxo2NjYEBQXh4uKCiGBmZsb58+c1cyeQXNYu\ndoU5dOk+KG+MnlmDrqmK5V1SK+vsRmbrKS4ujmPHjjFw4EC6devGzp07UxwWnBNp06YNenp6NGvW\njIULF+Lr65t8Yvqr+RNNOf8dmcI6pEdPn7OWIJ16UqvRf3gV/aTk1YH9+vVj7969TJw4kWvXrnH6\n9GnUajUtWrTQHAbwLsbGxtSvX5+AgAD++usvXF1dNT2z8PBwjWPj14bt6dOnnDt3TtP4MjY2Ztu2\nbXTs2JFOnTqxefNmjYFLzaGtoaEhDRs2xN/fn06dOpE/f36qV69OuXLlUKlUVKxYkZ9++omffvqJ\nYcOG8ccff3Dq1KkUoxgiwuXLlwFo1aoVf/zxB0ZGRvzyyy+0atUKPT09Vq5cCSQfDffDhG95+dAc\ng5LVPnndlKnHb33lXBYTg/c77UuLd12VJyQkcPjwYX766Sd69+79P2HYXlOyZEmCgoKYP38+hQoV\nSnVo8ivnshgbZk5ZZ1cyU09Hjx6lePHiDBw4kN9+++1/wrC9plWrVixfvpxBgwahVqs1ldVrvnIu\ni4lOS2liYmxAuwp58fDwYMCAAURFReHn54epqSmxsbGEhYURHR3N1KlTUalUjBw5EiCFz0cPDw+2\nb9/OkiVLMDAwwMnJiaZNm3LhwgVWrFjB0aNHOXLkCJC8NcXR0VHLAaixsTFbt25FROjQoQMJCQlA\nsveUwMDAFJ7a3x4K/eeffxg1ahRLlixh165dmiHMBQsWYGxszNixYzWOce/evavZilW0aFFNT65r\n165cu3aNyMhIOnbsyJ9//omfnx+JiYksXLiQChUqkJCQwPqx3TFKYxj4g2WdiXrKVONWpbgZ45ra\nYWqYsWhNDfUY19RO68iVXbt2kZiYyIABAxgzZkxmZvOzoESJEgQFBXHjxg2tjd6vqVLcjO+aVcSA\njO1RSq2ssyuZqaclS5YQHh7Orl27tA6e/V+hZcuWrF69mtjY2BRufjKznLMrH/uOJCXgaHiXyd59\nCQ0NJVeuXFSsWJHly5cTGRmJv78/5ubmmJiY4Orqyo8//qjZTN2vXz9u3LhBhw4dsLa25uDBg2zd\nupW4uDhy5crF5cuXGTZsGIaGhuTOnZuZM2cydOhQVCpVmvNfRkZGbNmyBX19fY3Hi8DAQMqUKZMi\n7GvjJiLMmDGDevXqaXqCbm5unDlzBi8vL65fv65xgGpvb0/lypXZs2cP9erV48iRI4SFhQHJW00s\nLS01Z1W6ublx9+5dypcvz44dO/D19WXx4sXkehnF8z/WYqhkbBVuZusp0w9O7lbbhnFNK2BqqM+H\nt58Jpob6jGtaQes06IiICPr370/dunU1p1X/L1K8eHGN37DXfpXeplttG8Y2rQBJ8R8chFYUUi3r\n7E6G9CTqVN9x79697Nq1izlz5lCnTp0szW92pnnz5gwbNoyFCxdy/PhxrXuvy1lRJyLqtPeEwf+G\nlkStxkgf/s+tNCFrZzBz5kwKFCjAnDlzcHZ25sWLF6hUKoKDg0lr3ULbtm1ZtGgRV69eZebMmZw8\neRKVSoWBgQG+vr5MmDCBHTt28PjxYwA6d+5Mnjx5WLlyZZrGDZINXMOGDbl58yaQ9lYEOzs7VCqV\nxovEzJkzgeRRsSNHjjB58mTWrVtHUlISIsL58+dxd3cnIiKCrVu3MmDAAMqUKZPqVoNr165x8+ZN\n9PT0ePbsGVu2bNH4jmvevDnLRnXn2yblkcR4kE+jpyzz53b+TiyLgq5z4PwdDA0NtScYkxJAUfCs\nVIyvXMpqWerbt2/j4uJCYmIia9asSXUvxf8aNWvW5N69ewwdOlRzBtzb/Lx2Bz8fugxF7DExNibu\nrYlzQ73k1U4u5S0Z7Fw2I62iT3625NucvxPLnAOXCLzyEFMTE613RJWInp4e8bf+YuU3HWlcq6Lm\n1p49e+jduzfx8fE8evQoy/2vZXdiYmIoUaIEuXLlYvfu3VrG/s8//6RV7yFYu/UixtgKfX19VG+1\nfyUxHhNT0+yoJfiIusnv7weoVCqtTeySlDzUV9LwOU+Pb+Mvv52aldq9e/cmMjKSXbt2UblyZQYN\nGsTw4cMpXrw4c+bM0TrX8/VCjytXrvDNN99w5coVEhISKF26NB07dqRevXqahSnBwcFUqFABd3d3\nSpYsmby5Xq0mKioq1X1o8+bNw8fHh0OHDlGuXDmaNm3K9u3bU91H17t3b86ePUu9evUoW7Ysfn5+\nHDlyBFtbW838oI2NDTVr1kRPTw8HBwfu3bvHrFmztHwFvn6f2NhYJk+ezJo1axg9ejQWFhb8+OOP\n5M2bl2nTptG9e3dWr15Ns2bNmDRpEsGX73BFvwRSxAFjI0MS3hpoUtRJGBkZZZ2e0uuyWz7ClXtM\nTIzksywiC/xDNa7KB6wOlnyObWXn734pwt+6dUtKly4tU6ZMkbx580pcXFxGk8yRfP/99zJw4ECx\ntbWVadOmpbivVqulZMmS4tq0lZZbeNexv0iLkT9L9LOPKseMaiNLtSQismHDBmnWtpPWO7qNWyMF\n63aU25GPZPLkydKuXTtN+F27domlpaVMmjRJWrZs+TFJ5kiqV68uM2fOFEtLSzl69KiIJGuodu3a\nsnLlSrl//74Y5ikgg+Zu15Sz96YzUqHtUNl9KPBjksxqLX2Unjp06y29Z27QesdyLQdL9bpOolar\npU6dOrJq1SoREblz546YmZlJ0aJFpUOHDrJ06VIREUlISJB58+aJpaWlDB48WKKiopJfGMTb21ss\nLCxk1qxZMnv2bHF3d5c1a9ZI27ZttfIRFxcngYGBMm7cOHF0dBQ9PT3JlSuXzJw5U/766y9RqVSa\nsD4+PlKqVCm5deuWJp0OHTpIkyZN5OXLl5pwERERsnr1arG3txdAbGxspH///rJ161aJjo7WSv+X\nX36R9u3by/z588XV1VUOHDggFStWFDc3Nzl//rwmncWLF0vhwoWlX79+8uDBAxERuX//vpiZmUnn\nzp3FwMBANm3aJCIit2/floIFC0pYWJgsWbJEDPMUkIX+VzRlPfCXECnk1EUexP7zMT9dujSRpQLa\nunWrNGnS5E2OQMaNGyeWlpZy8OBBrbBhYWFSqlQp8fHxkW3btknjxo0zmlyO5ejRo1K1alW5e/eu\nlCtXTqZOnZoijIODg+TPn18jXECCg4OlSpUqH5tstquMevXqJQsWLHiTQZDKlSuLqampxMXFyYsX\nL8TGxkYCAgJk586dUqhQIfnzzz+ld+/eMn/+/I9JMkcyZswYGT9+vBw4cEAsLS3lyJEjsm7dOqle\nvbqoVCp58OCBmJqaav53k9vAIt9++62MGzfuY5LMdsZNpVJJoUKFJCwsTPOON27ckDx58oinp6eI\niJw8eVKsra0lNjZWvvrqK6latarY2tpK7ty55ebNm1rxRUdHy9dffy2WlpbSvn17AaR///4SGRkp\nDx8+FAsLC7l48aLcu3dPzMzMJDExMc28NWvWTExMTMTLy0vKly8vFhYW0qlTJ+nYsaOUKFFCwsPD\n3xQsSEJCgrRp00a++OILGThwoJQvX17Mzc2lffv2YmVlJaampu9Nr2vXrrJ06VJJTEwUe3t72b59\nuyQmJsqCBQukUKFC0qJFCwHEyclJzpw5k+L5MmXKiJmZmbRv316qVKkiUVFR0rlzZ/nuu+9ERGTl\nypViaWkpixYt0uRZRKRy5coSEhKSjl8rBZ/euPXv31/mzJnzJkcg5ubm8s0338iIESM018PCwsTG\nxkbmzp0rIiIDBgyQ2bNnZzS5HEtCQoLkz59fIiMj5e7du1K+fHmZPHmy5n5MTIzkzZtXBg4cKIMH\nDxaR5LJOTEyU/Pnza1pZGSRbVUZqtVqKFi0qV69efZNBkHr16knNmjUlMDBQRES2bdsmJUqUEEtL\nSzl16pSo1WopVqyYhIaGZrwEcij+/v7i6OgoIiIHDx4Uc3NzsbS0lODgYBERWb9+vbRs2VJsbW1l\n//79msooMDBQatWq9TFJZjvjdvbsWbG1tX2TQZDWrVvL2LFjJX/+/Bpj0KtXL6latao4OjpKbGys\n+Pn5iaGhoUyaNClFnJqDxbgAACAASURBVL6+vlK2bFkpUKCAALJv3z4RSa7PhgwZoglXqVIlOXbs\nWKr5UqlUYmlpKd999500atRI1Gq1hIeHS8eOHSVPnjxibm4uZcqUkb59+8rEiRMFkNq1a0vu3Lml\ncOHCYmtrKyEhIaJSqWThwoXi7OwsVapU0fy276JWq6Vw4cIaY+3n5yc2Njby4sULuX79ujRt2lTy\n5csngMyePVvi4+O1nj9y5IiYmppK9+7dRa1Wy5gxY6RMmTJStGhRef78uYiIeHl5yffffy+FChWS\nmJgYjZ5GjBghP/zwQ7p+r3f4tMZNrVaLjY2NXLhw4U2OQKZMmaLVo7h586aULFlSq2VdunRpTXdY\nRzItW7aUjRs3iojIvXv3xM7OTiOM1z3kmJgYsbS0lHPnzmkE1KpVK1m/fv3HJJmtKqNLly5JyZIl\nRa1Wi4jI48ePBZDTp0/L2LFjZezYsSKSbNwMDQ1l9OjRIiJy+fJlKV68uOY5HcnDYHny5JFHjx6J\niEjnzp3F2NhYDh8+LCIiPXv2lIULF8revXulXLlyGi3FxcVJ3rx5JSYmJqNJZjvjNnPmTE1DUCS5\nbipdurS8fPlSYwxUKpX8P3vXHZfj+v/fT0Np0F7KSNIi2S3SsHOEYxxkRBEhsg7iRGRmHwdnmZnZ\n0dKwMiMSsndFcmg/z/v3R79uHk9GvhzOcd6vV69Xz3Vf43Nd1/u+Pte6P58BAwZQQUGBp0+fJkku\nWLCA3t7etLS05IwZM0iSV69eZZcuXWhqasqdO3dSLBYTAM3Nzeng4EAtLS2hrUly7NixFSpHkjx7\n9izNzc1ZXFxMCwsL7t69m/PmzWPdunV56NAhLliwgI6OjlRSUmL16tUJgPXq1WNQUBAPHTrEnj17\n0sPDg/fu3RPGgqCgIEHWN3H+/HnWrVtXKqxz5850cnKitrY2Z8+ezYKCAgJg+/btaW5uzr1791Ii\nkTApKYk6OjqcNWsWnZ2dSZIlJSXU19eniYkJs7KyBGV969YtDh8+nCNHjhT4dOjQITo6Ola268gv\nrdyuXbtGQ0NDYVCJjY0lAObn57OkpIQaGhpMSUlhrVq1pLaarl+/TgMDg/8GozewbNkyDho0SPj9\n8OFD4QUbOnQow8PDSZLLly+ni4uLQKDly5dzwIABH1PkVzUYLV68mEOGDBF+BwYGCnVMSEhg06ZN\nuW3bNurr63PLli3U1dVlTk4Oly5dysGDB39E9f/daNeuHbdv387MzExqaWkxIiKCOjo6PHz4MA0N\nDYUVcocOHYR2Lv+9bdu2yhb31Sk3Dw8PRkZGkizbGQEg/B4/fjyDg4Pp5+dHe3t7zpw5kx07diRZ\n1m47duzgo0ePaGFhQXt7e2prazMsLEzqjgAAFhYW0tTUlGpqahw1apQwKYiKihKUwZuYO3cuR4wY\nQZJct24dVVVVqaqqSm1tbZqZmXHYsGHcvn27kBcAJiYmctq0abS3t6eqqioNDAxYvXp1enl5sbS0\n9J1KZMGCBRw2bBhJsrS0lGvWrKGOjg6VlJQEhV5eDknu37+f9evXZ9OmTamlpcWYmBi+fPmSampq\nfP78OX/55Rc6Ozvzxx9/pI2NDWNjY2lubk6ybOtWV1dXyCs/P59qamrMy8urbPd9WeW2cuVK9u/f\nnySFvdzXXxIPDw9qa2sL+7DlWLVqFfv161fJuv77kZGRQWNjYyml/+jRI1paWlJDQ0NYIZeUlLBB\ngwZCW1+5coVGRkYfM1n4qgajTp06ccuWLSTLVmM6OjpCHYuKili1alXq6uoKZwIjRoygv78/PT09\nuXnz5soW96/HggUL6Ofnx65duwpnuHFxcdTQ0KC+vr7Al4yMDAIQtrYXLVpEX1/fyhb3VSm3goIC\nqqmp8dmzZyTJJUuWEIBQ54MHD1JfX5+Ojo58/vw5i4qKWK9ePUZGRlJNTY05OTn85ZdfqKurSw0N\nDY4dO1bm/QLALVu20NbWlg8fPuTw4cOpp6fH5cuXMy8vT1AGr+Pp06ds2LAh27dvL5ztycvLs2PH\njsLZoEzDQrrqz549Y3h4OOXl5Vm1alVqamrSy8uLSkpKTE1NlUlfrqwTExNpZ2dHR0dHnj59mlOm\nTOEPP/xQYTmxsbFUU1NjtWrVOHLkSObk5LBNmzbcvHkz9fX1efbsWUokEk6bNo16enpSk/Jly5ZJ\ntbWbmxt37979vi6TqfaH/H02Anl5eXHdunVChVxdXYUGunbtGjU0NNiyZUuZdN27d+eff/5Zybr+\n+yGRSGhiYsLLly9LhR8/fpwKCgqcOnWqQJj4+HhhlSyRSFizZk1eunSpskV+NYNRUVERq1Wrxpyc\nHEokErZv356LFi0S+BQREcEqVapw3rx5QpryLVpVVVVmZWVVtu7/epw/f56GhoasU6eO1C07f39/\nKikpMS4uTggDQB8fH5JkWloa69SpU9nivirlFhMTQ3t7e5Jkdna21GpCLBZz4MCBlJeX5927d4U0\n+/bto7GxMS0sLGhra0tnZ2eeOXOGjx8/po2NjdT7R5a1Wc2aNYWtXpK8cOEC3dzcaGVlRVtbW+7c\nuZPx8fH88ccf2bx5c0GZhYSEcOTIkTQ3N+eRI0eora3NBw8eVNywbyg3iUTCNm3acMmSJezfvz8d\nHBz4yy+/0MDAgBoaGqxTpw6HDh3KLVu28O7du1RVVWWXLl1Ys2ZNRkRECHV48eIFjY2Nhdu05eXE\nx8dTR0eHcXFxzM7Opr+/P3V1ddm5c2fa2tpy6NChUvKYmprSxMREmByVlJQQAHfu3EmSDAsL48iR\nIyvTfeSXVG7l244PHjwQlqJpaWkEwKtXr9LExIQhISEyK4rS0lJqamry/v37la3sN4HBgwdz6dKl\nUmErV65kz549aWNjwylTpgjtCUDY1/fx8eHixYsrW9xXMxglJiaySZMmJMm9e/fSwsJC2EravHkz\nDQwMOH78eJkXKzAwkGpqav9tcVeAoqIiysvLy+ycdOzYkcHBwdTR0WFsbNnnOgBoYGAgXNAxNDRk\nZmZmZYr7qpTbhAkTGBwcTJIcNmwYR40aRQAUi8UcPHgwnZ2d2aZNG+7atUtIc/36daqoqFBZWZlb\nt26V4lRWVhYbNGjAH3/8Uer969mzp1S5YrGYZ8+e5YABA6ioqEiRSMSGDRtyypQpPHz4MPft20cH\nBwfOmjWL9evXF8bBCRMm0Nvbu+KGfUO57dixgzY2NiwpKWFpaSkHDBhAFxcXzpw5k/7+/rx48SIX\nL17M9u3bU0FBQbiUtXfvXubn50vltXHjRjZu3JilpaUEwLi4OGHr+nWkpaUJu0Wv75KUbztOmjSJ\nlpaWfPjwoSBz+aTqzJkzrF+//nv77M1qf8jfJyFQ9l+F/Dkhk6MjznLQHyfZd3k063XxZ85fhcIh\nYnmljI2NuWbNGuHbrNdXFCkpKbS2tq5sRb8ZbN68mZ6enlJhXl5eXL9+vcwLBoBaWlq8c+cOIyIi\n2K5LD6k+Gh1xlj8nZL7rG7gvNhi9ySeXyb+zy6RlfPDkOc3MzBgVFVUm4P8PuhcuXODFixdZu3Zt\nqUFn6tSp1NXV5fbt2z+sgb8hLFmyhAYGBvz555+FsKKiIqqrqzMnJ4eJiYnU0dFhTEwMAXDt2rV0\ncHCgRCJhrwFDOCBsw9fEpQ8em0ZHnKWFVwD3xyYyNTWVenp6fPr0KQFw4MCBbNWqFf/66y/h7Ov5\n8+ecOHEitbW1qaen99bbx9nZ2WzYsCEnTZrEmzdvEgBv3brFmzdvcs2aNezVqxd1dHRobm5Of39/\nzpkzh7q6utTW1mZgYCBzc3M5fvx4uri40MLCQmql9vz5cxoaGvLEiROyDfuaciv/FOb1VXdpaSkH\nDRrEJk2a0MzMjGKxmL///juNjIxoZWXFHj16cPr06XR0dKSqqipdXV05e/Zsnjx5kiUlJXRwcOCa\nNWsIgLq6ukxISJCRQSKR0MPDg0pKSqxduzY7duzIjIwMRkdH08HBgST5008/CfUCQC8vL86aNYti\nsZg6xnU4Z9fpT86n/8lCyfm7z7AiIROJV7MBQMqlhBzFkJeXR8GNM9g8dSD0FApgYWGBtWvXwsfH\nB0CZ7TUbGxuMHj0aABAaGoqcnByEh7/f6vu3iOzsbJiZmSEnJweKioooLS2Frq4uLl++DAMDA+Tk\n5MDNzQ0dO3ZEWFgYpk6ditQ7udBu9QMOZzyGsrKyVB8pK8iBAFzq68K/tRlsTaQsBPztFkrexSdF\nuTJP2qp5t7B+cn9cTNqPfv36IS0tDTY2NiAJY2NjJCYmCgZkHRwc0K1bN6xYsQLp6elSRmi/ZeTk\n5MDS0hKBgYE4e/Ystm/fDgBITExEUFAQTp06BQBITk5Gt27dkJOTA7FYDDv3rjByH4RrLxRlLHt8\nYS4BlRibyi2tyD3OQE/r6ggeOUAwZLx//36oqqri9OnT6Ny5M+Tk5NC2bVsEBQXB0dERgwcPxvPn\nzwVL+K/jyZMncHFxwdOnT/HgwQPUrVsXf/31l2AJxM3NDTVr1gQAiMVi6OvrC/YY9+zZg4KCAmho\naCAlJUXGi/eff/6JlStX4vjx41JWS153rTNr1iycO3cOO3bskEorkUgwZMgQrFu3DvXr10e1atWw\nePFijBgxAosWLUKrVq0AlHkiSEpKEiynPHjwAI0aNUJKSgry8/ORkJBQoe/DPXv2YNKkSbCyskL7\n9u2Rl5eHsLAw1KpVC25ubpg7d64g3/r163H16lXcuHEDLTr0RPuxi5B8PRfy8iKU8lW9PgWfPlq5\nbThxC6EHMlBYKsa7syCU5OWQf3QD7iVsxuvlbd26FevWrcO+ffsA4J3+hP5DGRo3boylS5fCyckJ\nJ06cgK+vLy5cuCA8z8nJgbu7O86fP481CVcwc99FyCkovdM2kUhUZo17SkeL1227/a3K7UP5JAKg\nICIKjm3E/cQIKT4NGDAALVu2xPDhw5GXlwdjY2NkZ2ejX79+sLW1xbRp0z5XXf5RGD58OBQVFTFx\n4kQ0aNAA2dnZkJeXx9SpUyGRSKTsmB45cgTOzs6Y/Ot+bL9BFJVIIKrAJFQ5vhCXgI8ZmyQSKCsp\nwDjrJOJ+mYEXL15AVVUVycnJGDVqFC5evIidO3fC09NTGKs2btwICwsL7N27F02bNkVhYSGOHj0q\nKISLFy+iqKgIJJGamoqGDRtWaJsRAHr27ImOHTti4MCBGDBgANatWwcLCwusWLECrq6ub4gqgb29\nPfz9/TFgwAAhvFy53bt3D7a2tjh9+jTq1KkjlfbOnTuYMGECtm/fDh0dHVy9ehUlJSUwNTVFdna2\n4DrnTTx48ACLFy/GwoULIZFIUKtWLUFRu7q6Qk9PD0VFRbC2tsaKFStw584dJCQkYOPGjcjKyoKV\nlRXEYjFCQ0Ph6+sLBQUFhIaGYurUqVh2MBXhCbchpkjKNc6b+F/49FGGk8vIcxkFJe9TbGVyFIkJ\nZfsfoNaog9QTNzc3JCcno7i4GC9evMCZM2f+lV6RPyVed2NRkXFVHR0dxMXFQa1RB8yJyoDoPYoN\nAEigoESM0AOXseHErc8j+DtQGT4RQAlFUHXqL8On19vm8OHDsLe3h7KyMhYsWIDFixfj7t27n6kG\n/xycP38eO3fuxE8//YQaNWrA0NAQZ86cAVAxn5ycnKDWqAM2pheiWIx3Kjbgn8UlyMmhsESC69Vs\nodaoA7Kzs9GzZ0/069cPEydORI8ePZCVlQXgVduoq6tjyJAh6N69O9zd3aGrq4tp06ZBUVER8+bN\ng7m5ueB1Yf369e8svpyv06dPR3x8PNq2bYtZs2ZhyJAh8PLyQmZm5muiymHp0qWYPHky/vrrL5m8\nJk6ciOHDh0sptpcvXyI4OBh2dnawsLDAkiVLoKqqio4dO2Lfvn1wdnZ+q2IDgLS0NPzxxx/YtWsX\nAGDFihWwtbXFpk2bUK9ePTRq1AgeHh7Q0dGBk5MTPDw8EBsbC8n/G94uLS1FbGwstm/fDjs7O8TG\nxmLKlClQa9QBC2JvQAz5dyo24H/jU6WV2/m7zxB6IAMFb7paBfAyPRH31wzDnYXdcX/VEBTevSg8\nK6EImm4+uHDvmRCmra2NevXq4cSJE0hKSkKTJk2gqqpaWZG+KbxPuQHAvXx5aLr5QCyS9l8lLvgL\nWTtm4c7C7ri3chBeXkqQel5QIkHogQypPvrc+Fg+FYkpwyd3d3ccPnwYpaWlUm1Tu3Zt+Pv7V2h0\n+lsCSYwaNQozZsyApqYmgFd8ys3NxeXLl2XcAZ2/+wyabj4QKUo7j/w3cYnyitB080Gzdj1gY2OD\ny5cvo3fv3kLbXL9+HZGRkYiKioKenh62bduGgoICNGzYEPfu3cOxY8cQEhKCK1euQENDA4MGDQJQ\nNsEaN24c3rY75u7ujt27d2PHjh1wcnKCp6cnunfvjvT0dDRv3hwtW7bEhAkT8Pz5cwBAixYt4OHh\ngVmzZknlc/ToUSQlJWHy5MkAylZ5GzZsgIWFBTIzM5GamooZM2agS5cuyMvLg5WVFSZMmPBOL/QH\nDx5E//79sWvXLnh6egIAli9fjpEjR2LPnj3IyclBSEgIzpw5I2yxDho0CGKxGJs2bUJ0dDRat26N\nJk2aIC4uDiEhIfDz84N7Tx9ouvkACtJK9XPwqdLKbUVCJgpLZX2IFdw8h9yEP6DTcQxMxm6Dft8w\nKGhI7xuL5KtgZUKmVFg5gaKjo9G2bdvKivPNwcnJCWlpabh79y7OnTsn7Je/jhUJmRDJy87Inkb/\nDJG8IowDNkDHMwhPoleiOPu2VJzCUrFMH31OfEo+GRgYwMTEBKdPn5bh06RJk5CcnIwjR458vsp8\n5di2bRuePXsGX19fIaxt27aIiYlBfHw8HB0doaQkrcS+JS51DApHcHAw8vPzsXXrVsTGxmLbtm1o\n0aIFCgoK0Lt3b6SmpiIjIwO7du0S/KoBQG5uLqZPn44lS5YI25CxsbFISkrC2LFjZRQcSaxduxYl\nJSVYtmwZkpOTBb4qKytj8uTJSEtLQ05ODurXr4+1a9dCLBYjLCwMv/76K65duybkNWrUKMydOxeq\nqqo4ceIEHBwcsHTpUmzZsgWbNm2CiYkJgDIXWjo6Ohg6dCjy8/MREREhKM7XceDAAXh7e8v4Prx5\n8yb2798PoMzT944dOxAQEIBTp07h0aNHGD9+PIyNjREUFAQfHx/cunULK1aswLVr19C1a1ekp6dD\nbOH+t/GpUsot50UREq9mV7jczzuyEdUd+0CphgVEIjkoqOtAQV1HKo5ITg6Hr2TjyYsiIaxcub3L\nf9F/eAVlZWU4ODhg1apVaNasGVRUVKSel/fRm9tHkuJC5F85Bo1W/SBXpSqUTayhYtYCLy8dlopH\nAoevZKP25P26n7sun4tPW7duxfPnz9GgQQMh/E1nkN8a8vPzMX78eCxdulQYkAGgdevWOHPmDA4c\nOCDz/n1rXEq+ngu7ls6oW7cu1q1bh+bNm6NWrVrw8fFBz549MXDgQBgbGwMou6zk4uKCOXPmAABm\nzJgBLy8vNGrUSMhTU1NTcGkzZswYQcGRxI8//oh9+/bhhx9+wIEDByAvL4969epJyWRoaIjffvsN\n+/btwx9//IGmTZvi2rVrGD9+PMaNGyfEq1q1KpydndGvXz/06NED/v7+gpJ7Ex4eHtiyZQuqVasG\ne3t7tGvXDnl5ecLz/fv3Y+DAgTLukAAgPDwcgYGBKC4uRkpKirDNCABqamro2LEjZsyYgYYNG0JH\nRwf9+vXD6dOn4erqWtaO/mNwt1T9b+NTpZTb9jP3KgynRIyih5mQ5Ofh/qqhuLdiAJ5G/wxJSZFM\nXBGA7Wdf5ePo6IiLFy/iwYMHaNy4cWXE+Wbh4eGBvXv3VjgZeFsflT69D5GcPBS1Xjk2VNSrg5I3\nZkeAcFo7QObBJ8bn4JOHhwf27dsHd3d3GV9YvXv3hqqqKn777bdPWo9/AubPn48WLVrInGmrqqqi\nSZMmFSq3b45LIqD98OnIzs7Gvn37MGbMGHTq1An79u2r8F0LCwvDqlWrcPDgQWzatElmuxAANDQ0\nEB0djRMnTmDUqFGQSCSYPHkyoqKiEBcXhy5dugj5v+3iSZMmTZCcnIzJkyfD29sbJ0+exIULF4Rb\nkTY2NmjUqBFq166NjIwMeHt7V+gHDnj1frRt2xYrVqxAkyZN0LZtWzx79gz79u3DoEGDsHfvXrRs\n2VImbYcOHVC/fn0sXrwYAQEBgh+319GmTRscPXoUcnJyCAoKwu+//467d+8iJiYGcmYOFU4sPxef\nKqXcMh49l7pSWw7xy2eApBT5V45Cv99cGA5aiuLHN5B3bItM3MJSCTIevjoQVVJSQp06dWBpaSk1\no/wPb4eHhwcyMjIqfOHe1keSkgKIlKSvwsspqUBSXCAT9/8dgTb8VPK+DZ+DT61atcLNmzfh5OQk\nE1ckEmHJkiWYNm0anj37+86CvjTu3LmDpUuXYv78+RU+b9KkCZ4/fy7lbBP49rgkhjwKlXWkLlm4\nurriypUrcHd3l4lvbGyMwMBAeHt7Y9q0adDR0ZGJA7xScKdOnULTpk1x8OBBxMXFQUdHB23atMG1\na9fee5FOJBKhZ8+euHz5Muzs7PD06VP06dMHQNmW6NmzZzFr1iyoqam9Mx8XFxdkZmaidevWEIlE\nWLZsGVq0aIHmzZtj0KBB2LdvH1q0aPHW9OHh4Zg5cyZKSkrQv39/mefVq1eHnp4erK2tpRyd1q9f\nH1qmNlKfj5Tjc/FJtqR34HlhaYXh5YfN6k08oaCmVfZ/s67IO7YFmq29K8inROp3lSpVvnkPyZWB\npqYmSktLhUsBr+NtfSSnWBUskiYLi/IhV+Wt3359sFvcj8Xn4FP5mdGb27XlaNy4MTw9PRESEoJF\nixb9T/L/UzB+/HiMHDkStWrVqvC5oqIiFBUVZVYO3yKXNm7bicW97WTC9fX131n+6NGjhe91hbLf\nshIDIKMIvb294e0tK8+HYOvWrdi6dWul0gwaNEi4+PI63qXYXq9PamrqOxcjt27dkqm/bvdpUKkn\nm//n4lOlVm7VlCvWhfLKapB/cw/7HR1bTfmVIiOJW7du4fZt2SXof6gY8fHxMDExQXx8vMyzt/WR\nglYNUCJGydP7Qlhx1k0o6lY84AH47Eubz8Gnc+fOQVNTE2fPnn1r/NDQUKxfvx6XL1+upMT/PCQm\nJuL48ePvvCl67do1lJaW4sGDB1Lh3yKXfujRVcrKxYwZM1CjRg0cOnRIxgJGQUEB6tSpg+DgYFhb\nW6OkpOSV6Se8sv4kkUgQGBiIxo0b4+bNm7C3t8ewYcMgFouRlJQEAwMDTJw48b0WN+7fv48BAwbA\nwMAANjY2CAoKAgA0bdpU2Lp8Xx5Hjx6Fvr4+goKCQBKRkZHQ09PDyZMnMWbMGDRp0gRPnz6VSVde\nnwkTJqBPnz4wNDRESkqKTLzi4mKoqKigQYMGMs+6dKj4TsXn4lOllJuFQTUoKVScRK2BO/46sw/i\nl88gLnyB56d2QcWsmUw8ZQU5WBi+2qdNS0uDhoYGCgsLcePGjcqI880iJiYGrq6uwicBr+NtfSRX\nRRkq9e3xLHkjJMWFKLyXjvzMFKhat5GJq1yW/oLMg0+Mz8Gnd7VNOfT09PDjjz8iMDDwrde0/w0Q\ni8UYPXo05s+f/9aVrFgsxuHDh9G6dWvExsZKPfvWuITSYmxetRBeXl5YsWIFrly5gujo6LfyKTw8\nHA0bNsSMGTNgYGCAn3/+WSYOSYwdO1aw/FG7dm0cOnQIFy5cwPDhw9+ZfzkKCgoQGhqKhg0bwtDQ\nEEuWLEFJSQlCQ0MBAI0aNcLYsWPxww8/oHfv3rhz585b83r9/YiMjISfnx+ioqLQrFkzwVqJu7s7\nnj59KpP22rVr+PXXX7Fw4UKEhoYKZ4ivIyUlBebm5rh9+zYyMjKwdetW+Pr6wtTUFAcjfoVIIrvC\n/lx8qpRy69HE+K3Pqjv2RhXDeri/2g8P1gxDFf26qO7QSyYeAfRo/CqfmJgYtG3bVur7rf/wdkgk\nEsTExMDPzw9xcXEyB7Tv6iOttv5gaTHuLeuLnD3zod3WH1UqmB39/3D/5ycVvAJ8Lj716dMHWVlZ\nuHev4ksGADBy5Ejcvn1bsI7zb8TatWtRvXp19OzZ861xTp8+DSMjI3Tp0kXm/fvWuKSkrIyE38LQ\no0cPnD59Gm5ubjh+/Diys7OxZcsWPH78WIh7//59LFy4EAsXLoRIJMLixYsREhKCnJwcIQ5JjBkz\nRrBgUn6MoK6ujoMHD+LSpUtYvXo1+vXrh8zMTGRnZ0vJQxLbtm2DlZUVzp49i5MnT2LGjBmYMmUK\nwsPDhbPBvXv3wsLCApcvX4aFhQXs7OwQHByMly9fytQxJiYG/fv3x7Vr1+Dr64uDBw8KF/lEIhEW\nLlyINm3aVKjgxo4di/Hjx8PQ0BADBgyARCLBxo0bhecFBQVYtWqVIJednR3WrVsHKysr7N27F+d2\nroKCQsUr7M/Bp0qb3/Jdfxoxlx9/gGWSChJLJOjQwBCr+jUVwtq3bw9fX1+8ePECe/bsEezc/YeK\nkZqaip49e+Lq1auwsrLCunXr0LRpU6k4vutP49DFh++1JlERRCKgnZU+VvVr+reY3/qUfMrPz4e+\nvj4ePHiAIUOGoH379hWeK5Tj0KFDGDlyJC5evCjzfdc/Hbm5ubCwsMChQ4ekrqe/iVmzZuHJkycI\nCAiAo6MjHjx4ILVt9w/hEvAJxiblJ1ew3rcVmjdvDgDYvXs3wsLC0KdPHwQFBUFFRQU1a9aEu7s7\nUlNT0bhxYyxYsEDIIyAgAGKxGCtXroRIJMLIkSNx8uRJHDp0CBoassdEd+/eRe3ateHt7Y2cnBz0\n7dsXvXv3BlC2vT569Gg8f/4c4eHhaNOmbBUzb948JCUlCZMykUiE1atX488//0RycjJEIhHu3r2L\nSZMmITExEXPmI/L+KwAAIABJREFUzEHfvn0hJyeH58+fo0aNGli1ahV8fHwQHByMH3/8UbYtSEyc\nOBExMTGIjY2FtrY2RCIRzMzMpN6Vo0ePwsvLC/7+/khOTkZKSgrk5OTQtWtXaGlpIS8vD7///jsA\n4PHjx5g2bRqiXhhDzsTub+FTpUsY4WIGZYWPu9VIcTH8XcyE3+V22VxdXeHu7o74+Phv8hukyuD1\n7wHfttod3toUFBd/VP7KCvJSffS58Sn5lJSUBDs7O6irq3/QTkC7du0Es0T/NsyYMQNdu3Z9p2ID\nXvHJ1NQUKioquHjxotTzES5m3wyXvJsawMvLC97e3rh//z5iY2PRtWtXjBo1Cp06dcLSpUuxZs0a\nvHjxAkePHsWqVavQunVrzJw5E8ePH8e0adOwY8cOpKamAgBOnTqF6OjoChUbULZqdnFxwY0bN5Cd\nnY3o6Gg8evQIPj4+6NChA/r164czZ84Iiu3Ro0eYN2+ejGH5wYMHCx9lA2Ufa2/cuBHbtm3DsmXL\n4ODggBMnTiAhIQG1a9fGuHHjMHbsWFy9erVCuUQiEebOnYt27drBzc0NDx8+BAAsXLgQd+/exapV\nq9C9e3d4enqiuLgY+/btQ2BgINLT00ESq1evxrBhwxAXF4fCwkLMnz8f1tbWUFdXx+Zpg/42PlVa\nudmaaGBKRwtUVaxcUpYWITfuVzQ0ftXRx44dg7W1NTQ0NGBkZAQjIyPBzt1/qBjvU24SiQSr50xB\nbtyv5fvTH4yqinKY0tFCqo8+Nz6WTyJxiQyf3myb1+3cvQ2LFi3CvHnzhBf434BLly699bur1/Gm\nPdeK+FSjaily436FPCs36fwncQmlxciN+xVThvVDRkYGjI2NYWtri4iICMFElYeHB+Lj49GsWTOc\nO3cOa9euxePHjzF58mTk5eVh+PDhMDc3h76+vtCeBw8eRPXq1d9abExMDDp06IADBw5ALBZjw4YN\nsLKygpaWFq5cuQJfX1+pG4mTJ0/G4MGDZT72lpeXx5IlSzBhwgSprUh7e3ucOHEC/v7+6NGjB4YN\nG4YbN24gOjoagwYNQkxMzFvPnEUiEebMmYNWrVrBysoKQNnKtHXr1jh+/Di6du2KixcvIj09HTdv\n3oSlpSXOnDkDBwcHKCsrw9zcHPn5+ahfvz6SkpJw7NgxLFy4EMy5hdy4X1Glkl30MXz6KMPJ/VrW\nxpSOlqiqKI93XDwqg0QCZUU5dK0lwYvUKKSlpQmP3rRK8t+527tRWFiI48ePCzO51q1b49SpU8jP\nzwdQptiGDx+OtLQ0vEiNQjv9fKC0+L0mtEUioKqiPKZ0tHzd8vbfhkrxiURVRTmYvSir44sXL4RH\nr/OpVq1a0NDQkPKYUBHq1asHHx8fwS7fPx0kERgYiKlTp0JX992GHBITE9G0aVPBnuub7192djZc\nXV3xIjUKM75rCDlJKSrwVCSFfxKXKJGgihwwoa0ZXqRGYfr06VBTU8Ps2bOxe/duPH/+HD/88AO2\nbNkCd3d3xMTE4I8//oCCggL69u0LVVVVtG/fHgsWLBDMcunq6goKxsbGBgMHDsSGDRsqnDzFxMTA\n3d0d0dHRyM7OhlgsRpMmTRAWFiajFMu3N6dOnVphXZydneHk5CS4lymHnJwcvL29MXPmTDx69Ahy\ncnKIjIyEkZERFBUVZW4M5+fn49ChQxg/fjzs7Ozw22+/CSa6Nm3ahHv37uHPP/9E//79hQVJUFAQ\nxo0bJ7x/aWlpaNu2LcRiMTp37oy9e/fC3NwcSUlJ6NatG16kRmFiu3pgadFnHZs+SrkBZSTa4tsS\n7az0oaQgJ7NKEIlLoKQgB5Xca+il/QBLRvYAUGbLrnzA+U+5VQ5HjhxBgwYNBOKrq6vDzs4OSUlJ\nkEgk8PPzQ3p6OqKiogAAkfMC8VMrTdjpygHiEpk+UlaQg5KCHNpZ6WOLb8svMhiV4318kocEVeRF\nKL11Ggs6mODQ8jKzPx07dsSLFy/w6NEj3L17V+r88UP5NHXqVMTExCAlJeXTVuoLYM+ePbh//z78\n/f3fG/fN98/V1RVHjhxBYWEhsrKy4Orqii5dugAAzPAQxVHz4F5ft8xXI6RXxP8kLrG0GIryItho\nSlAleSX8XMtWJtu3b8f06dNBEleuXIGXlxf+/PNPhIWFwcfHBxKJBBMnTsTSpUtlLIBIJBJMnz4d\nhYWF2L17N4AyG40tWrRAZGQkrK2tYWNjgzFjxmDfvn24ePEinj59isDAQEybNg1r165F3759cefO\nHcEA8et5jxo1CqGhoahWrdpb6z1v3jysWLECt27dkgrftGkTJk6cKEz20tPTYWlpCVNTU0RFRSEl\nJQWhoaFo06YN9PT0EBoaCnV1daxcuRK9evVCQEAAAGDYsGEyl14AIDAwEGlpaYiMjERKSgrc3d3h\n5eWFZcuWCZe6EhMT0b17d2zevBkAcCtmPWyz49HOWh8Ql6DKG7vJn4RPH+rVlO/wdpvzVyFXJWZy\nTMQ5Dv7jJEdsOEkdp1688/ipjLfbiIgIGhgYMCEhgdWqVWNRUZGQz4sXL6impsa//vrrbUV905gw\nYQKDg4OlwkJCQhgYGEgfHx86Ozvz+fPnJMs89Pbq1YskOXHiRAZNmSHVR2MiznFV4tfpiftNPnWb\nv5tN+09izl+FDAsLY5cuXYQ6+vj40MnJiatXr6aXl5dUPpGRkfTw8HhXUQL++OMPtmjRgmKx+IPi\nf40oKCigqakpo6OjPyi+lZUVU1JSpMKaN2/O7du309ramlOnThW8ujdt2pTr168vS9e4BX9cH/81\ncemDx6YxEefoNmI2w8KXUyKRsFWrVvzll18IgI8fPxbq3atXL65du5ZkmTfrNWvWUEFBgTo6Onz4\n8KFUGWKxmEOHDqWjo6PU+/fTTz8JcUpLS3ny5EnOnj2bjo6OlJOTo0gkYqdOnZiQkMDi4mJu2rSJ\nHTt2pJubG/v27cvS0lKS5J9//slmzZpVyE1AuuohISHs3r278HvDhg00NDRkSEgIe/XqRYlEwitX\nrjAwMJAqKioEQFNTUwYGBnL//v1SY++ZM2eor6/P3NxcAuC0adNoZWUl44m8qKiI33//PQHQ39+f\nT548IUk+fvyY1atXZ0xMDHV0dBgbGyvIrK2tzbt37/L27dvUNTHlzwnXPjmfPtmA9CacnZ154MAB\nkuSwYcMYEBAgdMTWrVtZvXp1Ojk5yaRr3bo19+/fX5mivhnY2dkxOTlZKuzo0aPU1NRkq1atBGLe\nunWLAHjnzh2SZOPGjZmYmFjZ4r6YcnsTubm5VFNTY0FBAQsLC2lmZsZDhw4RAMViMYcMGUJdXV0u\nWrRIKt2zZ8+EdO+DWCxm8+bN+eeff1ZGtK8Ks2fPFhT/+3Dv3j1qamoKA2g5xowZQ21tbQYHB1Mi\nkZAsG4zs7e0pkUj44MGDCtO9B19MuVWEzZs309PTkyR57tw56uvrC2NTVlYWGzRoQBUVFd66dUtI\nc+XKFaqqqrJWrVrU1tbm7NmzWVBQQLFYLDOxLG8zbW1t3r59WwgrKiriggULqKOjw7p163LEiBEc\nP3487ezsWK1aNXp4eFBZWZnHjx+nm5sbf/jhBz59+pRGRkY8fvx4xQ37hnLLz89nrVq1GB8fz3Xr\n1tHIyIiJiYm0t7eno6MjTUxMWKNGDQ4cOJArVqygsrIyDQ0N6e3tzfv37wv5SCQSOjo6cvXq1VLl\nTJ8+nZaWlnz48CElEgn37t1Lc3NzWllZUUdHh4sXL5aSx8zMjNWrV2d8fLyUzDNnziRJrl27lr17\n9/7AnnuVxYf8fTYCla8oSDI7O5s6OjpSHeHm5kZ1dXWePXtWKt2sWbM4ZsyYStb134+srCxWq1aN\nxcXFQlhpaSm9vb2poKDAzMxMIbxHjx5CW2dnZ1NdXV1qhfyB+GoGI5Js0aIF4+LiSJJ79uyhpaWl\nUMfS0lKqqKiwcePGzMvLk0pnb2/PmJiYDyrjxIkTNDIykhqk/im4d+8etbS0pHjwLvzxxx9SM3yS\nfPjwIWvWrElDQ0MhLC8vjwB48uRJkuS6devYrVu3yor3VSm3N98lX19fqbEpLi6OVapU4aRJkwQF\n36lTJ06fPp3VqlVjeno6u3btyjp16rBNmzZ0dnaW2W0CwODgYGG1tHv3bpqZmbFTp068ePEitbS0\neO/ePSmZtmzZQm1tbRoaGtLAwICGhoY0MjKS2ZF4s5w3sX79empra1NFRYXm5uasXr06q1SpwpCQ\nEGZkZAh1IskmTZowKiqKkyZNora2NmfNmsX8/Hxu2rSJdnZ2wiTm9XJmzJhBU1NTtm7dmvXr1+eB\nAwf4/fffc9asWdTR0WFWVhZJMjY2llWrVuWAAQOEtPHx8QTA/Px8kmSvXr3466+/vrvDKqj2h/x9\nNgIdP36cNjY2wu8lS5YQACUSCSUSCWvWrMnFixdTT0+PZ86cEeKlpKTQ2tq6spX91+P12Sb5SrG5\nuLiwS5cuXLduHcky8tSqVUsgY0REBDt16vQxRX41gxFJTp06lZMmTSJZNqts27atUMe0tDTWrl2b\nfn5+tLe3l1JwwcHBnDBhwgeX4+3tzYkTJ1ZWvC+O/v37C+3zIejbty9/+eUX4feDBw9oYWHBadOm\nUV1dnTk5OSTJoKAgqYGtf//+/Pnnnysr3lel3EjpXZCsrCwC4KVLl0iSYWFh9PHxoa2tLSdOnMj9\n+/ezXr16LCoqYpMmTZiYmMjS0lK2a9eOqqqqdHJy4rlz56QrDPDly5c0MDBgkyZNaGlpyYMHD5Ik\nT506RUtLywrlGj9+PIODg5mZmclp06ZRJBJRUVGRlpaWDAgI4O7du6X4DYAlJSU8duwYQ0JC2KpV\nKyoqKlIkEtHFxYXHjx9nSkoK69evX2F5kyZN4tSpU0mS169fZ7du3VirVi1qaWkxKSlJqhySzMnJ\n4ciRI6miokI9PT3evn2bpaWlgrIeNWoU/fz8hK3IBQsW0N7eniRZUlJCGxsbIS+xWEwdHR1hh6kS\n+LLKraSkhJqamnzw4AFJsri4mAAYGRnJK1eusEaNGpRIJNy5cyf19PR4+vRpkmWDtqamptQS+T+Q\ngwcP5tKlS0mWtVH//v3p6urKly9f8ueff2b//v1ZUlLChg0bcuvWrQKBfHx8uGTJko8p8qsajJKS\nktikSRPhd3p6OgEwKyuLixYtoq+vL8ViMYcPH86WLVvy2bNnJMnk5GTa2dl9cDkPHjygtrY2r127\nVlkRvxiOHz9eqRWnRCKhvr4+b9y4QbKszvXr12dISAjJslXKli1beOXKFWprawtckkgkNDQ05PXr\n1ysr4len3CZOnCh1fg2AHh4elEgkdHNz4+7du5mTk0NbW1tqampy7969JMuUwY8//sgBAwbQxcWF\neXl5XLVqFfX19TlkyBDhPKr8/EldXZ01atSQ2hqfPXs2R40aVaFc0dHRdHBwIEl26dKFP/30E9u1\na0d3d3eGhobS3d2dampqtLOzY/v27QmA1apVo62tLceNG8fAwEAaGRlx9+7d1NXV5ZMnTxgWFsaR\nI0dWWF5cXBxbtGghFdavXz9qaGjQ2dlZ2FkDwKVLl1JXV5f+/v7Mzs7mzJkzhZVbubJ++vQpNTQ0\nqKGhwcTERBYUFFBNTY3Pnj3j8uXL2aZNG4FPZ86coYWFRWW7jvzSyo0ku3XrJqwoSAqHl+Hh4Rw4\ncKAQvmvXLurp6fHUqVMkye7du/+jzz4+NSQSCU1MTHj58mWWlpayb9++dHNz48uXL0mSmZmZNDQ0\n5IoVK9i6dWvhEkD5Cjk9Pf1jiv2qBqPi4mJWq1aN2dnZrwQE6Ovryw4dOnDbtm0ky9pqxIgRbN68\nOXNzc4V05VslH4KwsDCpVfLXDLFYzGbNmkm9Z+/D+fPnWbduXZLk/fv3aW5uzlmzZgnPFy9ezCFD\nhrBTp06cP3++1ArZ1NT0Y8T86pRbbGyssKIgy7hkZWXFrVu3Uk1NTVgd/fTTT6xWrRrHjRtHiUTC\n6Oho6ujoCBPLcuTm5nLs2LHU1tZmly5dCIABAQHMzs6ms7MzV61aJcRt06aNoCzfRH5+PtXU1Lhz\n506ampqyoKCABQUFdHV1ZbNmzdi/f38aGRlRV1eXDRo0IACqqamxY8eO7NmzJ/X19ZmRkUGS9Pf3\n54gRIwRlXREKCwuppqbGp0+fkiRv3LhBLS0t3rx5k6tXr6aBgYGwS+Lu7s60tDSp9KGhodTW1ubg\nwYNJkgcPHqSamhptbW2F7U8PDw+uW7eOurq6vHDhgsCnsLAwBgQEfHinvcKXV27lKwpBIoBdu3al\npaUlN27cKBV39+7d1NPT48mTJ7lq1Sr269evssX9a5GRkUFjY2MWFxfzhx9+oLu7u7BnXY7yrYTz\n58+TLGvr11fIH4GvajAiyc6dOzMiIuKVgAD19fWpoqIi3NAiyxRcQEAAmzVrxtzcXHp6enLz5s0f\nXE5hYSHr1q0rbCN9zfjtt9/YsmXLSt3yXLBgAYcNG8Z79+6xXr16nD17ttTzS5cuUU9Pj2ZmZiwq\nKhIGo4ULF9LPz+9jxPzqlFv5iiI3N7dMQIDR0dE0NDQUlN6jR4+oo6PDEydOsHHjxhw9ejR79epF\neXl5qfOycuzfv5916tShrq4uAXDXrl2USCQ8e/ascGP8Q26Eu7m50cjIiFOnTuWYMWNobW1NDQ0N\nGhgY0M7OjpcuXZK67JOTk0M/Pz+qqqqyZs2a1NfXZ9++fbls2TJqaWmxatWqMmfRr6Ndu3bcsWMH\nybKFRfkKPiMjgx4eHtTQ0CAAzpkzh4WFsjcYTU1NaWRkxPXr11NXV5eJiYls1KiR8K7OmzePNjY2\nHDFihCAzSbq6unLPnj3v7qiK8eWVW/mK4vWOuHLlCkUiEVNTU2Xi79mzh7q6uty5cycNDAw+dlD+\n12HZsmUcMGAAe/fuTQ8PDxnFRpLW1tbCdgZZ1tbLly+XWiFXEl/VYESWndv6+Pi8EhDguHHjqKam\nJsMViUTCUaNGsWnTpgwLCxNmlh+K3bt309LSUuoCz9eGvLw8Ghoaylznfx/atWvH1atX08zMjGFh\nYTLPCwsLKS8vL5zJlQ9G7du35/bt2z9G1K9OuZFk27ZtuXPnzjIB/7+OdevWpZubG8myLf1x48aR\nLDuX09LSoomJCd3c3ARlQJZtkbdv357m5ubct2+fsHNiZWVFNzc3Xrhwgb6+vhw9ejQPHDjAVq1a\nychSXFzMI0eOcMaMGdTU1CQAuri4MDQ0lCkpKSwtLWVhYSE7d+5MLy8v4YIYAP7yyy80MTHh1atX\nSZatvlavXs2ePXtSWVmZcnJy9Pf3Z2RkpLBd/zrKJzvx8fGsXbs279+/zzFjxghnZuUTnC5dutDU\n1JQ7duwQ3reXL19STU2N/fr1o7y8PCMjI0mSiYmJrFmzJl++fMmtW7dSXl5emICWn0eqqal97OWt\nL6/cSLK2RQNOjzjC0RFnqdt9Gn9YdohGbt7s2b/iwWbv3r3U1dWlkZERL1y48DFF/uvg6enJli1b\nsl27dhUqtrS0NFarVo2t23XmzwmZQls3GhZOv8Xb3vW9yLvw1Q1G6enprFnPij8nXBPq2GrSbzRy\n8+aa9REy8SUSCUePHk1ra+tKr2DLL62Eh4d/jKh/C8aPH1/pyUtBQQFVVVVZu3Ztzp07t8I4CxYs\nYI26FvSes15o55EbT1O3VR9m3nv8MaJ+lcrtp7mL2Hb0fKGOoyPOsm7nYdTQN2ZUVBQNDAz47Nkz\nlpSUsE+fPnRxcWHjxo3p5OREPz8/PnnyhAEBAdTR0eGiRYukbiSXX/RYvnw59fT0OGDAAGppadHb\n25szZ86kRCLhpUuXuGTJEnp6erJ69eq0s7PjiBEjqKamxpo1a1Yoc2FhIT09Pdm1a1dB6dSsWfOt\nZ8SBgYHU1NRk//792bZtW6qpqbFly5acOnUqExISWFhYKGxTW1tbc8iQIdTT06Ofnx8fP37V1+XK\nPyYmhjY2NnRxcWFqaiqjoqJobW1NXV1djhgxgnXr1hUuiPTs2ZPBwcF0cXGhuq4RZ0eeEtr6+0X7\n2bDXuM86NlXaK8CHRjx/9xlWJGQi9lKZlXHxa8ZQ5CiGWCxBM2MVTOvWHLYm0vbCDhw4gO7du2Po\n0KFYunRpZeT71yE/Px8aGhpwcnLCgQMHoKysLPWcJJy+6wtF2864WVgVysrKKCp9ZT1CSV4EiERw\nqa8L/9ZmMm39DvwtXgE+FOV8OpR2D0pVqqBY/Cq5AiQoEYvhbmWIUW71pepIlvnTWrFiBZKTk9/p\nafhNXL58Ga1atUJ6evp7TVn93bh69SocHBxw8eJFGBgYfHC6iIgIDBw4ELNmzRKcXb6Ow+dvoH/Y\nBijVtoNEIgHlXnNRIi6BkpLS18gl4CPGpsMZj1FSXAwoVHmVSUkR5BUUUHw7FX5OtTDZry/69euH\nZ8+eITIyEkVFRXBycsL169ehpqaG77//HiEhITKetUUiEcrH1qdPn+Knn37C2rVrUVRUBFdXV1y8\neBFVqlSBh4cH3N3d4erqCl1dXfj5+UFJSQkRERE4ffo0atasKSN/cXExevbsiZs3b+LChQvIzMxE\n3bp1K6xro0aN4OPjg0WLFiE9PR0ikQjHjh1DbGwsYmNjkZGRAUdHR8TFxUFOTg4tW7bE0qVL0bBh\nw7fWp7S0FGvWrMGMGTOgoqKCx48fIz4+Hi1btsTChQuxcuVKHD58GADQsI0ntJz6gAZWkJcXoZSv\n9IA8JFBQUPhsfPosym3DiVsIPZCBwlIx3pm9RAJlJQVMrcBu2JQpU7BgwQIcPnwYDg4OlZHxX4OS\nkhK0bdsWZ8+exePHj2UUGwAErdqN7dclEClWeWdbi0RlVrWndLT4UFM2X41y+2A+gaiqqCBTR5Jo\n0KAB8vLycP78eWhpaX2wkIGBgXj58iVWr179wWn+DnTu3BmtW7fG+PHjPzjNnTt30LBhQzRr1qxC\ns2QbTtxC8K7zkEAOEL3dMt9XyCXgE49NlEigpCAHw0fHofLgDCIjI6GsrIzo6GgEBATg2rVr6NSp\nE/bs2VOhZ2+RSIS8vDwkJiYKiuTOnTt48eIFqlevjvnz58PHx0fKjNe5c+fQvn17ZGRkwN/fH+7u\n7vDx8alQviVLlmDy5MkoKChAYWFhhS6bHj9+jPr16yMnJwe9evWCnZ2djG3KU6dOwdfXF6mpqVBT\nU4OKigrc3Nzg7u4Od3d3Qbm+rtzKsXnzZsHG5owZMxAQEIAqVaogPDwcy5Ytw4jwCCxNvgeRguIX\n4dNH25Z8G8rIcxkFJe8biADIyaGwRILQA5ex4cQtqUdBQUGCb6CjR49+ajG/epSUlKBPnz64f/8+\nhg4dWqFi+/1IJrZfFwMK71ZsAEACBSXiCtv6a0al+ARRhXUUiUSYMmUKlJSU4ObmhidPnnxw+dOn\nT8eePXtw7ty5j5L/cyAqKgpXr17F6NGjPzjN7du34eLiAnV1dUybNk3m+YYTtxCy7xIkIoV3DkTA\nt8ElkZwciiXAHe2m6DllGe7cuQNPT0/4+/tj3rx5+P7773Hp0iWMGDFC8DxRXFyM5ORkTJ8+HQBQ\no0YNLFmyBIaGhli3bh2WL18OR0dHVK1aFQsXLkSHDh2Qnp4OoGwCNmrUKISEhEBTU/OddlGXL1+O\n8PBwwbVOjx49UFRUJBMvLi4OLi4uUFBQwIIFCxAeHi7YeszLy0NQUBA6dOiAqlWrok2bNmjXrh1O\nnjwJNzc3xMTEoGnTpjA3NxfslObm5gp579mzByNHjoS6ujpOnDiBw4cPw9raGnv27MGYMWPgMmRq\nmWJTVPpifPqkK7fzd5+h95oTKCh5ZfTzzsIe0hmUFkPdriO02g6TCq+qKI8tvi2lXBq0bNkS3bp1\nw4IFC7Bz5044OTlVRtZ/LIqLi9G7d2+UlJQgJycHM2fOhLu7u1Sc83efwd1nIp6nxaM4+xZULVtD\np3MgAIDiEuTsmY+ih5kQP8+Cfp/ZUK71apuhorauAF985fYp+ZSdnY26devC19dXmEm/uZX0Nqxe\nvRrr169HUlJShbP0vxPFxcVo0KABFi5ciM6dO39Qmlu3bqFNmzYYMmQI5s6di5ycHMFbMlDWzr3W\nHEfWid14mRZXKT59JVwCPmJsAj6MT/IU469dIZgwpDcCAgKgpKSEdevWYceOHbh9+zZUVVWhoaGB\nI0eOoF69enB3d8fcuXORn5+PqlWrCvl4e3vDwcEBUVFRaN68OdTU1BAaGopevXrB1tYWK1aswOnT\npyEvL4+7d++icePGePz4sdTqbunSpQgPD8fhw4dRu3ZtiEQidO/eHQUFBdixY4fUJHjQoEFo2rQp\nRowYAQCYNm0aMjMz0aZNGwQHB6Nz587o27cvevXqhfj4eLRq1QrZ2dmCmx2JRIK0tDTExsYiKCgI\n6urqsLS0hImJCeLi4hAQEIBLly5hx44dAMqc/wYGBkK7XmM8tumDnFN7vyifPunKbUVCJgpLpclT\nc9x24c84YD1EClWgYiGrpApLxViZkCkV5uHhgdzcXGzcuBHdunVDcnLypxT3q0RxcTF69eoFsViM\nX3/9FRcvXqxQqS88eBFQ1UJ1h15Qa+gh81zJ2Bo6nuMgr6op86yitv4a8Sn5pKurCzMzM3z33Xfo\n0KED3NzckJOT80Fy+Pj44OXLl9iyZcv/VqFPgOXLl8PU1BSdOnX6oPjlim3s2LEwMzNDq1atpBQb\nUNbORSViKKhpV5pP/2QuAR/GJzFE6Bi0BEFBQcjOzsYff/yBXbt2Ye/evXj27BmuX7+O4uJiZGZm\n4vTp0wgLCwMAKcVGErGxsfDw8MDChQsRHh6O77//Hunp6SguLoafnx+cnZ2FVaCJiQm0tbWldgwW\nL16MxYsXC05Hy7F582aoqKigW7duKCwsFMp70+uDvb09duzYgRUrVuDAgQNYs2YNZs6cienTp8PG\nxkbGn6bTf+3iAAAgAElEQVScnBxsbW0xbtw4AGUTRE9PT0RFRcHY2Bhz5szB5cuXMX/+fKSmpsLD\nwwPnz5+HUmNPFJVKvjifPplyy3lRhMSr2e9c7udfOQZ5lepQMrGWeUYCh69k48mLV8vr8qW5h4cH\nNm3ahG7duiEpKelTifzVofygmCS2bduGY8eOwd7eXmZLMudFEZKvP4WqhRNUzO0hV1XaDYZIXhHV\nmn0HZRNroAJ37hW19deGz8Wn2NhYzJ49G507d4arq2uFLjzexNucQf7dePz4MebMmYPw8PAPWkHe\nvHkTLi4uCAoKQkBAgMxgB5S1c8KVLBAiqNR3qDSf/i1cAt7BJ5EckjKfwMK2KRo1aoSoqCh06NAB\nZmZm2Lp1K65du4aCggJMmTLlrc5xL126BGVlZdStWxdmZmYYMmQIJk2aBB0dHRgYGMDDwwMZGRmw\ntbXFwYMHAZS5Byvfmiw/x0pISECtWrWk8lZUVMSmTZugrq4OLy8vFBYWIiMjA/Ly8qhXrx5u3LiB\nbt26YcSIERg+fDgUFBRga2uLnTt3Ijs7G35+fgDe7yJq//79WL58OZKTk3HhwgVoa2tj1KhRuH37\nNnr37g19fX30HjAUNwpUIJKT++J8+mTKbfuZe++N8yItDqo2rm99MUUAtp99lU/Lli1x7do1PHny\nBO7u7oiIiECPHj2QmJj4qcT+alBUVIQePXpAJBJh69atqFKlSoWDEQAs3HkEEnHlPCO/iTfb+mvD\n5+BT+csrEokwa9YsfPfdd3B1dUVWVtZ7y3J2doajo6OMM8i/E1OmTIG3tzcsLCzeG/fGjRtwcXHB\nhAkTMGLEiApn8kBZO4vFpf+TXP8GLgHv5pMIQM9Ji5CVlYUtW7Zg6NCh6NSpE2JiYqCuro6oqChc\nvnwZvr6+FSq4N9t+ypQpiIuLQ2RkJJYvX47Vq1fj0KFDmDt3LkaNGoVOnTrB0tISMTExWLhwIZYv\nX47Dhw9XeHsSKFNwGzduRPXq1fHdd99h//79aN26NSZPnozmzZujadOmuHz5MhYvXoyqVavil19+\nQVBQEJYsWQIFhbIbse9Tbv7+/oiKikLjxo1x6dIlqKioYNiwYVi+fDkyMjJw9uxZaDRuD7G45IPa\n+234VHz6ZMot49FzqSvob6I0LwtFdy9CtYHbW+MUlkqQ8fAv4XeVKlXg7OyMuLg4AICbmxu2bNmC\n77//Xrhq+m/A/7V35nE9Zf8ff34+7UpIJVuWEdmbbJPQKvvXEmZkxj4aY4ysY8www2TfGYNhLBMa\nM3ZqSiqiQraSNPafJSmlQqrPcn5/9O2OpkWZkL6f5+PhD33uveee+3l9zvvcc95LnmHT0dGRDBsU\n/EFA7jr43uDTyLR1C7tUifnnsy5vvA49derUiUuXLpGeno5MJmPu3Ln079+/xAauqGKQb4Jz585x\n+PBhZs+e/dJjb9y4gZOTEzNmzJCcAa5du4ZSqaRp06b5jj17PQEVWoVdpsS861qCl+tJJdPiidw4\n3/7Xi8Ygz8BdvXqVTz/9tMD5//wtV65cmQULFjB69Gi++OILLC0tkclk9OnTh9jYWFxcXJg1axbH\njx9n9erVHDt2rEjDloe2tjbbt2+nWrVqzJkzh4MHD5KYmEhMTAwzZ85EX18fmUzG6tWr+eqrr2jR\nogXOzs7S+Q4ODpw7dy5fdXuAP/74A4CAgADef//9QvsDuUupD7O1kGkX9NwsDWWlJ+2XH1IyMrKK\nn/09jQ1Br04zdKoWH5OTlpn/dTRPQIMHDwbAycmJ33//nUGDBrFr1658X867SFZWFu7u7hgYGODr\n64uOjg6Q692WlpZWIN5ky5YtyPQqlUnbGVn/bob1OikrPb3YR319fezs7AgNDaVfv36SgZPL5Tg5\nORESEkKNGjWKvFbdunWZOHEi06ZNk37wb4I8Tzpvb2+pCntRXL9+HWdnZ7755htpuQn+Hoz++VZy\n5mIsGBU/aJaEd1lLUDI97fhjLys/er/A3//5TPN8A/759z///LPQ686dO5e5c+cW2e6dO3eKNWzF\nLVFv27aNbdu2FfrZ4cOHCz23cuXKhR6fZ9he5J8hMmbus6hkVfJY0qIoCz2V2ZubsX7xdvJZbAhG\nLV5uiBJuF3QqCQoKyhdj4ejoyO7du/nwww+lt7p3kaysLAYMGEClSpXyGTbIHYxcXV3zzRTT09OZ\nOXMm9WuXPGi3OIz1dV5+0FuirPSkzsq/R1bY0sv333/P4MGDcXJyIjExsdjrTZs2jaioqDe6cuDr\n60tWVhYjR44s9rhr167h7OzMrFmz8hk2KHymHRwcTHrygzK5x3dZS1AyPRnpysnOzs6XBcPBwQE/\nP798f8t78xk+fDhKpZLQ0FDatWuX7xiFQkGrVq2YP38+NWvWJD09Pd/nCxYswMrKiilTpjBs2DCc\nnJxo0aKFNBbm/YPcyc+tW7cYNGgQlpaWzJ49G1tbW4YOHYqLiwvPnj3Ld86QIUNyvRqrV+fKlSv5\nPvP29sbLywshBL6+vlhYWBAdHS21I4QgKyuLypUrk5KSku9cLy8v6tQomQfyyygLPZWZcbO2MEZP\nu/DLZd27guppSqFebS8ilNmcDtyHh4cHvr6+PHz4kKZNm6JQKLh+Pb/Rc3BwYM+ePQwZMoSjR4+W\nVTfeGFlZWfTv35/KlSuzc+fOfIYN/h6MlEolp06dwtvbmxYtWpCamkpi/Dm0UCPUKoQyB9QqEGqE\nMgehzt2LE0pF7meAUCtzP3thgqCvLce6ZuEztPJAWehJrcjGb8cGpk+fTlBQEM+fPy9yX+G7775j\nyJAhODk58eBB0QO+gYEBS5cuZeLEiSiV/26vqiQ8e/aMr776itWrV0su2oVx9epVnJ2dmT17doFl\nMaVSybFjx3B1deXJkyccPnxY2tfJTLiGTJ3bj1fV07usJSihnlQKUm/F0rJlS5YsWcKFCxdQq9WF\n6snQ0BDIfeMaOXIkgYGBBSYWGzdupFq1asyYMQM3Nze8vb2lzxYsWMCWLVsIDQ3F3d2dixcvEhwc\nzNy5c/H09OQ///kP165dk47/5ptvaNOmDS1atODKlSuo1Wrc3NzYtm0btWrVonfv3pIj1MmTJzlx\n4gQ//PADM2fOZNKkSfnGhbz+7Ny5k0mTJnHkyJECq0eRkZFYW1tjYmLCvXv32Lp1K3369GHVqlWk\n3oxBLsqHnsoszu3R02zsF4UUuradEvAjQpGNaZ8pxV5cT1tOu4QD3IiLpkaNGpJnkFKpxNHRkcWL\nF0vCyePkyZMMGDCA7du34+bmVpq+vDWeP39Ov379MDExwcfHR9rQhdzZUXx8PG3btqVTp06cPn2a\nevXqYWtry969e7lw4QIGVc3ptCSUlBO+pIf75rt2FfshVO08lHs/jUKVkX8fqfZnv6BdNXfZTU9b\nTsRXzlQ3KnJ9/K3GuZWFnnS15Sh2f0X7Vk25f/8+0dHRtG/fntOnT+Pr60vPnj0LGAxvb2+2b99O\naGgoNWvWLPzGhcDZ2ZlBgwZJe1qvi2+//ZZbt26xY8eOIo/566+/cHFxYe7cuYwaNSrfZwqFgl9+\n+YXvvvsOKysr6RkYGhqSmJjIoSOhdF56nByVIO3EjlfSUznQErzi2AQl05Oetpy1btUY0MuNgQMH\nEhERQUpKCjY2Nly+fJmIiIh87vkymYxnz57Rp08foqOj2bVrFy4uuft5qampNG3alCNHjtC6dWse\nPHhAy5YtiYiI4I8//sDHx4eQkBBq1aqFUqnEzMyM+Ph4atSoQXZ2NqtWrWLx4sW0a9eOgIAAhg4d\nysKFC6lTpw6Q64g3f/58nJ2dUalUjBo1ijt37nDgwAHJe9bDw4OcnBxatWrF0qVLpZhJlUpFlSpV\nMDQ0JDg4mBYtWkj9EUKQnp7O6NGjuX37Nk+fPuXRo0e4uLhw+fJl+vXrh9eMWdgtOIpCzVvXU5kG\ncY/1OUvQlYclyCRRyIXVaiyUD/Ed74y9vT2HDh3CxsaGs2fPsmzZMkJDQ8nOzqZNmzZSapi2bdui\nra1NeHg4/fv3x8fHh27dupW+8TfI8+fP6du3L6ampvz6669oa2uTmJhIcHCwFFysUCjIyspi3bp1\nODs7U6NGDXr27ImzszONGzdmypQp6Hf9kqdVGpYuQeN/kcmgW7MarP+4bbGHvWIXS8pLb/3f6qlx\npedM71iNsWPHEhcXh0KhICwsjClTpvD06VOysrJwcnKS9PTee+8hk8mYP38+27ZtIzQ0lFq1ahV6\n/ZiYGFxdXYmPjy9VOq/ScPPmTdq1a0d0dLQ0cP2T+Ph4XF1d+eGHHxg5ciRCCOLi4iQthYWFYWho\nSJ06dZg3bx729vZkZmbStGlTAgICCAwMZG2MAp36bXKFUUrKiZbgNY5NCDU6D+PYOLwDBw8eJCMj\ng02bNnH37l2CgoIYN24cVapUwdjYWNLSoEGDEEJw79496tevz8CBA9m+fTva2tpMmDABpVLJunXr\npCYWL17ML7/8glwuJyQkJN/Eqn///gwcOJChQ4cCEBERwfjx47l//z7Jycls2LCB0aNHo6WlxePH\nj7G0tOTRo0dSSi6VSsWYMWOIiIjAxMSEiIgIaa8tICCACRMmEBsbi56eHtu3b+fTTz9l1qxZzJw5\nk+zsbE6dOoWjoyMffPABsbGxyOVyhgwZgqenJ61bt8bPz4/p06fj5+fHrFmzOEFTtCxtEK/wtZel\nnl57hpKSoq8tp/2TcP7csQFXV1du3bpFZGQkMpmMhw8fYm1tze3bt4mMjCQoKEjK1ebg4ICrq6sU\nc+Hj40P37t1L3f6bIDMzk759+1KtWjU+/vhjQkNDOXr0KPfu3cPJyUlKorp7924ePHggJY328/Pj\niy++oGHDhiQmJrJ8+XLMrdvh/tMJ1PLS+wSVk6wSr5ShpKToackwjdlO+s0YqlatSo8ePfjmm2+A\nXKecgIAAVqxYQUhIiKQnHR0dXF1d6dq1K5cuXeL3338nNDSU2rVrF9rG559/jpaWFmvWrCn1/ZUE\nd3f3QvMB5nHlyhVcXV2ZNm0aJiYmUj/09fXzJeTt168fs2bNkiZ+48aN4/bt28THx/P+++8zevpc\npvjdJeslHoWFUU60BK9xbDLQkfNpw0xWfz+FVq1aERERQWBgIG3atAFy01/16dMHW1tbaVLh7+9P\nmzZtqFOnDvfu3aNKlSrUqFGD6dOn4+bmRlxcXL4MObNmzWLRokVs3boVDw+PfO3/9NNPnDlzhrlz\n5zJjxgxOnDjBggUL8PDwQEtLiy5dupCWlsbKlSt5/PgxP//8sxQrl0dqaiq1a9emWbNmHD9+HCMj\nI+mzPn360LlzZywsLJgxYwZ9+/blzJkzmJubEx4ejrW1NVFRUQQHB2NtbY21tTXJycno6emRnZ1N\ns2bN6NixI/7+/nz++ef0/GQcw7ddIKf0cipTPZV54uS/87eVvGdCkY1nezNmDu5MXFwckyZN4vjx\n40yYMIElS5YA0Lp1a9avX4+dnZ10Xl426qNHjxIUFER2djbp6elMmDCBKVOmlCpb+utEoVBw4sQJ\nxowZw7Nnz8jMzKRdu3bSLK9Nmzb5lsdcXFzw8vKiT58+JCQk0KxZMyB3yeyzzz5DJpMxatQoYrOq\n8axJN7JK8awNdOR8U0ii6kJ468YNXk1PqHL4pkdTxjg24cCBA3h5eZGQkEBwcDCdO3fm3r172NjY\nkJSUJDns5C0H5w1Ox48fx9DQkMzMTNasWSM5/rxISkoKTZs2JSQkRFq+KStCQkIYPXo0cXFx+TJd\nQK5jkY+PDzNmzKBKlSpSpvk8PTVs2FA6NiMjg1q1apGUlESlSpXYtWsXn3zyCY0bN2bNmjXSHmPn\nUd8gbPqVKiygHGkJXtPYhDKHNlr/x+4FE8nKymL58uUsXLiQKlWqEBcXh7GxMRs2bODkyZP4+PhI\np8lkMsLCwvDy8iI1NVV6k8rOzmbs2LEsXrxY+s1///33/PHHH8yYMYN58+YRExOTPz1adDSdO3dG\nW1ubL774gq+++kranpHJZKjVavbs2cO0adOQyWR89NFHzJ8/P183Jk+eTEZGBpC7jO3v7y95RR4/\nfpxu3bohk8kwNDSkcuXKPHz4EB8fH5ycnDAxMZGWJXfv3s3mzZvx9/dHCIGHhwf79++nb9++LFq0\niHr16nH06FE+mfMzlbsML5WBK2s9vdWqAHnZoHvVzsZn9lhptiOEYNmyZXz99dc4OTmxcuVKNm/e\njLGxcZFxPkIIrl+/zsaNG1m1ahU6Ojo0aNBA+sE7ODjkm628ToQQXLlyJd/SkEqlwtLSkqVLl+Lg\n4FBgoMwjMzOTGjVqcPv2bXx8fPj2228xMzPj3LlzmJiYoFKpGDFiBAkJCRw6dIi9MUmletblKJN7\nmVcFyOtjw4xoUk7tIzAwUBr8e/bsSXh4OOPHj2fWrFnY2dmxfft2afb9T5RKJVFRUXz//feEhYWh\npaVFu3btpDeivAnJjz/+yL59+zh69GiZ5Z1UKpW8//77zJkzhwEDBpCTk8OpU6ckPUVHR6NUKunf\nvz/Tp0/HxsYmn1ftixw8eJDVq1ezY8cOZs6ciY+PD4MGDeLXX39FS0uLBw8e4OTkxMcff0x914/f\nVS3BaxqbJjpYsmHqULp27cqiRYuQyWTcvXsXGxsb1Go1y5Yto0uXLnTu3JmEhARJA3lGp2HDhhw6\ndAhLS0t++OEHKYhaR0cHZ2dnnj9/ztWrVzlx4gTm5ub06NEDNzc3Jk+ejFqtxtfXl6+++orHjx9z\n4MCBAjlmX8zWn5WVRe3atVGr1Xh6ejJz5kyMjY25cuUKnTt3lt4WR4wYQVRUFPb29oSFhZGYmMjz\n589p2bIl+/bto169erz33nvs37+fli1b5mvH09MTa2tr7O3t+fzzz7l48SI+Pj4MGTIEgCNHjjB0\n6FD27t3L/+nUfat6KvOqAAAff1CfXWM/oFuz3M1B/X94Kulry9HTltOtWQ12jf2ApZ59+fnnn+nZ\nsydRUVHIZDKmTp0qrVs7ODhw7do1/P39i2xTJpNhZWXF4sWLCQsLw8DAgBEjRmBmZsayZcuoWbMm\nXbp0Ye7cuURERKBQlG1cTkJCAj4+PgwfPpw6derQs2dPLl26hLu7O82bN8fd3Z2YmBh69OhRpGED\nCAsLw9LSko4dO3Lw4EG0tbUJDAzExMQEpVLJsGHDch0BDh2iUqVKpX7WJRRPuaK0fTy8Yjpt27bF\nzc2NtLQ09PT0OHjwICYmJly7dg1ra2tq1qxJYGBgkW1qa2tjZ2dHYGAg3t7emJubM3z4cB49esSY\nMWMwMzNjwIABCCG4e/cue/fuLbP+rlu3jkqVKnH79m169eqFqakpU6ZMQaFQMGrUKIyNjdm8eTO/\n/fYbtra2RRo2yN1T0dXVpXnz5iQlJWFlZcW2bdvQ0tIiISEBR0dHhg0bxrfffqvREgX7+JlLM2k/\nfNq0aQghqFu3LgcOHEBXV5eNGzfy4YcfIpPJiI2NzXetGzdukJ2dTfPmzdHV1WXPnj0cOHCATp06\n0bFjR7KysggPDycjIwM7Ozs8PT3p1q0b3t7e+Pv707FjR1asWMGuXbvw8PDg8uXLxfbtwYMH6Ojo\nEBsbS2JiItbW1mzatIkvv/ySwYMHs2rVKuzs7Ni/fz/Pnj3j6NGjuLu7S5n9ExMTefjwIVB0tpI/\n//xTihPV09Nj8uTJkmELDAxk6NCh7Nu3j86dO799PZW0qql4xWq3j55kifXHrwuv3y6IUVvPCK/f\nLoj1x68XWoH1wIEDwszMTJw+fVoIIcS9e/dE9erVRVRUlBg7dqyQyWRiyZIlIicn56Xtnj59WpiZ\nmYkDBw4IIXLLoQcGBoqpU6cKGxsbUaVKFdGnTx+xatUqcfny5VJVaRZCiPT0dHHw4EHx5ZdfimbN\nmolq1aoJd3d3sX79enH9+nWhVqvF06dPhYODgxgxYoRQKpUvvebly5dF/fr1hampqfDz8xMjR44U\nU6dOFUIIqRpw165dC63GLUTpnnUJKIvqyGWqpdL0Ua1WiwkTJoh27dqJx48fCyGE2LFjh7C1tRVR\nUVGiefPmwsjISAQHB5eo3eXLl4uGDRuK27dvCyGEePDggdixY4cYMWKEMDMzE1paWmLYsGFi586d\nIjExsdT9unPnjti8ebNwd3cXMplM1K1bV3h6eordu3eLlJQUIYQQMTExwsLCQuzcufOl11Or1WLv\n3r1CR0dHODg4iOjoaGFpaSlCQ0OFELm/LSsrKzF//vxCz3/HtPTax6aUlBRha2srJk2aJI0VQ4YM\nETNnzhQ7d+4URkZGonXr1uLWrVu5HQbx008/iWHDhgkhhPD29hb9+vUTQuRWQ2/UqJEwNjYW9+/f\nl6pyr1y5Uri6ugq5XC5kMpno0aOHCAgIEJmZmWLXrl2iV69eBR8sf3d9w4YNYujQoUKlUokLFy6I\nL7/8UhgaGgpANG3aVHzzzTdS9W2VSiW6dOkidHV1xblz54QQQmzZskV06NBBqFQqsXv3btG9e/d8\n7UyaNEnIZDIxY8YMERwcLGrVqiUyMjKEEEL8+eefwtTUVJw8efJfP+sSUCJNvJEBqTQcOnRImJub\ni1OnTgkhhJg3b54kiradnESTfuNFw6FzRO/FfmLib+fFumNFP6CoqChhbm4u9u/fX+CzpKQk8dtv\nv4kxY8aIevXqiVq1aolhw4aJX3/9Vdy/f7/A8Tk5OeLEiRPiu+++E/b29sLIyEi4uLiIBQsWiKio\nqALG68mTJ6JLly5i1KhRQqVSFXp/yU+yxLpj18Vn206JdlM3i9ruM0Vt1+HC7+hxcebMGVGzZk2R\nnp4uFAqF+Oijj4Sbm1uRhu01UO4Go9KiVqvFxIkTRdu2bUVqaqpQq9XC3t5ebNq0SaSnpwuDauai\nXvfRwmbcCvHh2tCX6mnFihWiQYMGkoF7sR1XV1fRu3dv0a9fP1G1alXRqlUrMXnyZOHv7y+ePn1a\n4FqPHz8W+/btE+PHjxdNmjQRpqam4sMPPxSOjo7ik08+KXB8dHS0sLCwEL6+vkX2N09Pw9aFiKae\nq0QDj++FWZchIikjU8yZM0cMHDhQCCHE3bt3RaNGjcTChQtL8zj/DeXSuJWW1NRU0aZNG+Hl5SXU\narW4e/euMDExETdv3hQ7d+4UDZu1FjUcPxYOM7YIM/dZwmbcSvHp8t9FzNVbwsTERNy4cUOo1Wrx\n9ddfixYtWgg3NzcxYMAAkZOTIzIzM8XcuXOFiYmJmDhxoqhataoYO3as6NSpkzAyMhKdO3cWenp6\nIjw8PN9Yk2fcbt26Jdq0aSPat28vTE1NRZMmTcRnn30mLCwsxMSJE4WlpaUYNGiQZHx//vlnUbt2\nbeHh4SE++OADkZaWJlQqlWjfvr3Ytm2bSE1NFZXNaonVQVdEv0X7hZn7LGE1zFvYjZotkjIyRYcO\nHcTWrVuFEEL4+fkJMzMzER4e/ia+BiFKqInXsuf2b/Hz82PkyJEcPHgQGxsbmnbqjo3HV8QkKxFC\noJb9vemtqyVDJpMVWar83Llz9OzZk/Xr19O/f/9C2xNCcPPmTcnbLCQkBAsLC2xtbTEwMODu3btE\nRkbSqFEjyZsur+hgYTx58oSePXtibW3Nhg0bCiwb5ZW5P3Y1GZVSieqF1WGhyEbfwAAexPFJG3Nm\nfDqEoUOHkpGRIVUDfkOUmz23f9WIEEyePJmwsDCCgoK4desWfYZ/QffJywn5KwkdLS0U4u+u6mnL\ngKL19M96WnncunWLdu3acfHiRSwsLDh37pykp7Nnz/L+++9jZWWFELmu+nFxcXTs2FHaw2vVqhWx\nsbF07dqVK1eu5AsviI6Opnv37qxcuZIPP/ywQB8lPf2VhFKpyC04+l9kaiU6OjpkXo9i05TBNLcw\nwsnJCU9Pz1JV8f6XlJs9t39LWloabm5u2NnZsXLlSubNm8fJuLvUdB1ByJVE9PT0yFH9fSt6WjJy\nlErqyNJY83kfflu7iICAAI4ePUrlypUZNGgQiYmJJCYm0qFDBxYvXkyDBg3YuHEj27Zt48SJEzx9\n+pSwsDBGjRqFoaEhaWlp2NvbY2FhwaZNm3jvvfd48uQJaWlpLFy4kIEDB1K3bl1pi+bw4cNkZmay\ndOlSVq1aRYcOHYiJieHYsWO89957TJgwgaioKAIDA4mPj2fg2Ml0m7Sc4CuJuWn6X8hjqy3L7ZvW\nw3h++24UCZcipbH6gw8+eBNfAbxNh5KywN/fnxEjRvDFyl34XH6GQikKLd+ShwzQ1yl8U/L8+fP0\n6NGDdevWMWDAgCKvce/ePYKDgwkKCiIgIAAhBPr6+qSmptKqVSt69OiBq6srHTp0KJBRJI8nT57Q\no0cPmjVrxvr16wsYNmlDW6Eq/mGq1ejraVPjfjiGD86zd+/eN2nYoIIYN8g1cFOnTiU0NBTPpdtZ\ndOQaauTFVggubpP7xx9/ZNmyZYSEhNCgQQPp7y8GXL9Y6DEwMJCTJ09SpUoV1Go1z549kyofu7q6\n0qRJE4BCA8MvXrxI9+7dWbNmDYMGDSpwn9tP3cbb/wpZChXFf2UCPW05Oad+44vuf9foekNUGOMG\nuQauW7dutG/fnvcHTWDuoVhk2nrF3oAMkAsVunGHObllAdWrV+fs2bN8+eWXXL58mZYtWxISEiJ5\nSapUKtq1aycFXOelX7tz5w7Pnj3jr7/+onr16ty/f5+aNWvStm1bzp8/z/nz5zE3N5cCwyMjI7Gy\nspLuY8GCBXh7e1O5cmUWLVrEJ598gkwm48svv+T06dOMWbSNhQFXc38fLxlvteWCpyd+Zf+SKXTo\n8O/zSZaCd9u4AXy92Z+dcVm5pcpLiL6OnG8LcSe9cOECPXr0YO3atbi7uwO5LtXHjh2TvNCSk5Nx\ndnama9euuLi4SC7Vz58/Jzw8XJqJX79+nc6dO0tvcc2aNUMmk5GRkUGPHj1o0aIF69atK9Sw/XA4\njgocAgIAABDKSURBVGxVyR+jTK1gdp8WjOzUqMTnlBEVxrhBroEbMH0FF2QNQKvkFRWKck9eu3Yt\nS5YsISQkRNJJfHw8HTt2xNbWlpiY3Pi6vDczR0dHqlXLLcyYlJQkxdcFBQWhVqtp1KgRN27cIDIy\nUgrYLkyzL+ITeZu5h2NRqEv+VWmj5vu+Ld+0M0iFMm6QO3Z0Gvk1zxp3z7eS9DL0teVM6FSbs7+t\nICAgAG9vbzw8PPDw8ECtVvPHH3+gq6uLWq1my5YtTJ48mTZt2hAVFYWlpSXp6en4+vrSoUMHdHV1\nkclkXLlyhWnTphEXF0dKSgr169dHoVDQrFkztm7dKoUN/PTTTyxevJiQkBCSkpLw8vJCrVazcuVK\n7Ozs6D1pMbE6VqXK6q+rBbN7Ny+Xeiq3xq2ooEtl2kNSjvxEzv140NbBsIk91VzHIpO/sFQph93j\n7AsEAkZFRdGtWzecnZ1JSEjg0qVL2NnZSeECxblUv8ijR4+kAOyjR4+SmZmJg4MDZ8+exc7Ojm3b\nthW4zsm4Owz/9SKPz/sXWnod4Pnti6QeWY8qIxndWo0x7TUJ7SrmJQ1sLGsqlHGLvpvGhxsjC8QE\nlkRPetoy/vDsWOD5L1u2jIULF9KtWzfOnDlDWloajRo14v79+4SGhuaLNysKIQSxsbE4OjrSvHlz\nYmNjqV27Nq1atcLf358ff/xRykzxIvuOn2ey3x3SLwa8C3qqcMYt+m4aH/4cWSDwvSR6Eops3LQu\ns+ybiRgb5xbyVCgU9O7dm8TERKysrDh27Bjm5uaoVCpat27Nxo0b0dfXx9TUlDt37kgTpTwXfScn\nJ6ZOnUq3bt3YunUrkyZNonXr1kRHR9O2bVuMjIw4e/YsYWFh0pvci6EGtVra8bDFEJ5EH6kwenot\noQBlQVFl4VOO/IRWparUmeBDrZFryLoby5PzfvmOyVGq+XjBdq5du0ZMTAzLly+nZ8+euLi4ULNm\nTf78809cXV1JTk7myJEjTJ8+/aUu1S9iamrKoEGD2LBhAzdu3CAgIIAzZ84Aua6yzZs3Z8KECRw4\ncICUlBTWrVvHkB+2okJWZOl1VWY6yfvmU7XLx9T18kXPworkA7mFMcuy9Pr/KmuPXS88T2UJ9JSV\no+LztQdITk4mNDSUmTNn0r59e+bMmYO5uTl+fn6sWLGCxMREwsPDqVu3bomrBshkMvbv34+zszNh\nYWEkJyczbdo0Dhw4QJ06dfD09KRz587MmTOHiIgIHjx4wPjx45mw/jBCS1ujp7fE2mPXyVa9mp7Q\n0uF+1RZkZ2fz+++/M3bsWJo0aUJMTAxpaWlcv36dM2fOEBcXR3BwMMHBwaSmpqKnp4e9vT0hISH5\nLvfs2TPOnj2Lg4MDcrmcTZs2sWbNGk6ePMmDBw9o0qQJYWFhVKlShfbt29O/f3/Wrl3L9evXadas\nGQ0aNOBB1ZYg16lQeiqXxq24svDK9IcYNu2ETFsXLaNqGDRog+LRnfwHyeVkGNahqU07HBwcuHz5\nspTs8/Lly0RGRrJx40YOHDjwr+81PT0dT09PevbsybVr10hKSmLHjh3UrVuXuXPnYm5uztdz5qNT\nzwZkRZdez7waia6pJYbWuX2r0skDRdItFCl3EWVYev1/kX+rJ5lczl2lMTXrW/Hpp58il8tZsmQJ\nycnJXL58mUWLFjFu3Dhu3ryJTCZj1apVfPvtt6Snp7/03u7evcvKlSulTDwXLlxg2rRp7Nixg0uX\nLpGUlMSsWbPIyMhg8ODB1K5dG7/gMPTqvw/INHp6C5SFni6nQu2GTVizZg3Nmzfn0KFDJCQkcP36\ndaysrJgwYQJZWVnUqVMHLy8vpk6dCoCbm1uB+LOwsDBsbW0xMjJi+/btqNVqhg0bBsAvv/zCkSNH\niI6OJj4+nitXrjBo0CBOnjyJra0tbdu2JUeuh14DW2TyijU+lUvjVlxZeOO2fXkWF4ZakYXyySOe\n3zyLQQPbAsdpa2sx4+f9DBgwAH9/f1JTU6VCj61ateLIkSN4eXnh6+tb4NxHT7NZf/wGXrsuMGpb\nFF67LrD++I0CX16e51T79u1Zs2YNMpkMuVxO5cqVCQ8PJy0tjZ07dzJm3saX5qRVJP8fOuZ/OyfI\ndfXRrmpBTnLuD6OsSq//L1IWetLV0cFr9W+YmZkRGBiItra2lJh27NixzJ49GycnJ65du0abNm3o\n1auXVICyOD1Nnz6d8ePHU79+faKioujVqxcbN26kb9++AFSqVAmlUomfnx/Nmzfn+PHj9Ph8DkIU\nn9dIo6fXR5noSVeXT2av5ebNm5w7d46qVasik8nQ0dFh586dGBkZ0b9/f7Kyspg6dSrnz58nJCSE\nrl27ciQsUtKTmfss5ofcp4bjUP4vMYWvv/6a1atXI5fLWblyJatWrcrn2VutWjXu379PUFAQY8eO\n5fTp0zTpPhyVqvicm++insqsEndZUlxZeP26LXh6MYC7yweDUGPYwgWDxnYFjlMKOc+0q/LLL79w\n/vx5vLy8WLt2LStXrsTR0ZGWLVsSFBSEm5sbQuTmSMtzqT5+NRkg3z3oayey4uhVyUXc0kjg5uaG\nvb09K1asQCaTkZ6ejre3N1u2bGH69On8/vvv6OnpEbnrAioSiu2zWpGFVqX8VZbleoaInOdA2ZVe\n/1+kLPSkEDJURhZERETg6+vLkCFDsLe3Z9GiRVhaWjJmzBhkMhnOzs4EBwczf/58Wjr05kGjY5xL\nyP0O/6mnZUfiyZE3Z+Inozlz5gx9+vRh06ZN9OnTB8hNjDx58mRu3rwpLa3LZDL2JFxA/UCjp7dF\nmehJDcaWTYmPj2fBggW0atVKekMzMDBgx44dfPzxx/Tr14/9+/ezdOlSvpi9BPuxc1H1+p7lQX+R\noxJUsurAXeChEpxWRmAxaDYGta1ZsWIFP/74I8eOHcPS0hIhBAcPHmTq1KlYW1sTERFB48aNATC5\noYW4WPH0VC4dSkZtiyIkPqnA34VQc3/daCrbdMe4/QDUiuek+K1Cp3ptqjmNKnB85rXTJO/5oURt\nGtn0oJrLaGRausiK2XsTajVClcPj4F94erHwsvH/pLDS64/DfFBlPJI2bFODNiDUKqp3+9sNPOGX\n8VSx98DQ2h4AF2tzfhnerkRtlgEVxqFEo6dc3qKeKpRDiUZPuZR3PZXLZcmiysKrnz9BlZFMZdve\nyLR10DIwxqiVK89vnC30+KGD+heIWs/MzGTevHlUr16dGTNmkJGRweK9kZi4jkGuo1+scCB3vVyu\no495t8/4NeIWoaGhtG7dms6dO3Pu3LlCI+UH9u390j7rmNVDkXTr777mZKF8nIiumeULz+Xfl17/\nX6Ts9DSgwHd7584dPDw8qFOnDj4+PqhUKj5f7ltqPdXsOZ6tJ2+wZs0azMzMGDduHElJSYXq6T89\nXl6UV6On18fr1NOxY8ewsbGhU6dOnD17FoVCgdOnszHtOrZUeqrd+wt+CrrEZ599hrm5OT/++CMK\nhaJAe0qlkm7OXV7a53dRT+VyWTK3LHxigVd/rUpV0K5SgycX/DHuMACR85ynl4LzrQVLKHP4feNK\nkg4qJVf/unXrYmBgwMyZMxkxYgQzZ87EumM3KvWZWSC2Q/HoLilH1pHz8DpaBlWo5jSSSk06Sp+r\nZFp8t/8i6qAVLP32W9zd3aWM4NnZ2URGRkqhAjf1GmL4wWCEXCe3zHrev/+WXkeuRaXGdjwO3cyz\n+HAqNWpHergvOub10aleFyi70uv/i5SFnoQym8M7NqCO0JWqTBgbG1O3bl127NhBZGQkEydOZMW2\nPTzpMAbZP35ZL9NTjhq+2x9Nnb8iCQ4OlrKxQ25pnRdDT57Xt0e3zQCEXFujp7dAmehJkU3o/u38\ncPUQrq6utGvXDm1tbSmkaMuWLfTu3ZuOvYdw38IVocz/YvoyPWUpBQsDruKgb5ov440Qghs3bkha\nCg0Npbr9h8ib5cbrVSQ9lctlyeLKwuc8vEnq0Z9zZxFyLfTrtcKkqydahtXyHaenLWeXhxVnw3OD\ntIODgzExMZECrx0dHalatSqDVwdxJiErX7YKoVaRsHEcld/vQeW2/yHrTizJe+ZSc+RqdExeLFwp\n6GptzoZP2nLp0iUpyDsiIoKmTZtKbTVu2QanlSfJVqqLLb3+dxxJEro1/xtHUrWG1J+XlF4vayrM\nsmRZ6WldD1POhOVmiD99+jStW7eWJk4dOnRAS0uLXgv2E5ehk2+GXVI9yRC4Nbdg1cAWhIeHS3UK\nr169KiUNcHV1xaK+FZ0Wh75LeqpQy5JloSddLTnz2sPp/+rp9u3bODo6St9xkyZNcrMdzd/HPWHy\ninqCbs1r8EO3evnqXioUCqkdFxcXdI2rS/2pSHoql8YN/l1Z+MJKlavVamJiYqQZS0REBE1atyWl\n06TcVDMvkJN8m8Rfp1J38h/S29jD32ahV6sxVbt8kr8ttYpnvpOoZqAtCebFbBSvqz9vgApj3KDs\nn39e1po8PV27dg07RzeuNRuWL1colFZPSlI2j6Nl4wb5DOeLxStfR39eMxXKuEHZP/+8rDV5Bkil\nUtHFrRdnLPqgFPkfX2n0hEpB+q8T6NLBVtKTtbV1gdqDFVFP5XJZEmC8YyNOXHv0SmXh9bW1+Nwx\nf7oquVyOjY0NNjY2TJ06lezsbGbtPM6eq1klvKogJ/n/CvxVS0vGlDW/81Xfwote5lHW/dFQOsr6\n+RsYGEiDBeRmrZnte4Kr99XF5qz8m8L1pK2lxQ87gpjo1rzYszV6eruU9fM3Nzfno48+4qOPPkKI\n3MLL3ntOo3qsAnlJhunC9aSro8M832A+d2pc7NkVUU/l0qEEoHXdqnzT0xoDndLdYm4uQOuXpoLR\n09Mjp5IZKgrmhdMxqYNWpSpknN6DUCl5fus8WXdiEcqCQYpKIScx6+W55V53fzQUz+t+/qampuia\n18+XkT+P0uhJIWTcfvzyQroaPb1dXufzzyu8XK1Bc0Qhhq00espRw7WkzLfan7dFuX1zA6RknK+p\nVDkZWcrCr6WljZn7t6QGbSDj1B50azbCsGkn0CrcGygjq2RVvV93fzQUj0ZPGj2VJRo9lW89lWvj\nBrkPvFWdqvx07DqhfyUjg3zJSvW15QjAqYkZnzs2KtUMoiiXXgBd8wZYDF0o/T/RZyqGLVyKuE7J\nXWBfZ380vByNnjR6Kks0eiq/eir3xg2gVZ2qrP+4LSlPs9l9/h7xD56QkaXAWF8H65qVGWhb55W8\ndIpy6QXISbqFjklthFDz5Lw/yqePMWrpWuC4V3GBfV390VAyNHrSUJZo9FQ+Kbfekm+C4lx6H4ds\n5ml0IEKtQq9uc0y6eqJTrVaB496Ci/6bokJ5S74JNHoqkgrnLfkm0OipSN7tUIA3xTvmAvsm0Ri3\nV0Cjp0LRGLdXRKOnQnl302+9ScY7NkJfu+SVdF+kvLrAanh7aPSkoSzR6OnV+Z83bhXRBVbD20Oj\nJw1liUZPr8474VDyuqloLrAa3i4aPWkoSzR6ejX+5/fcXiTmXlqFcIEtIzR7bv8SjZ4kNHtuZYBG\nTxKvxaHkf4L6X/uZAcOBVkBVIA2IAbbdXtAr+W3em4Z3D42eNJQlGj2VDI1x06BBgwYNFY7/eYcS\nDRo0aNBQ8dAYNw0aNGjQUOHQGDcNGjRo0FDh0Bg3DRo0aNBQ4dAYNw0aNGjQUOHQGDcNGjRo0FDh\n0Bg3DRo0aNBQ4dAYNw0aNGjQUOHQGDcNGjRo0FDh+H+uDMXnvbtGkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114afc940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7.5, 2.25))\n",
    "for i, p in enumerate([0.0, 0.1, 1.0]):\n",
    "    # Generate the graph\n",
    "    G = nx.newman_watts_strogatz_graph(12, 6, p)\n",
    "    # Create layout and draw\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    pos = nx.circular_layout(G)\n",
    "    nx.draw_networkx(G, pos=pos)\n",
    "    plt.title(\"p = {:0.1f}\".format(p))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preferential Attachment and Scale-Free Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pprrv/bQSfWwENYfOQ6l5MH+m9WmB2s2T+FPfYDYZSYv8nbSbv+L0SOts59FY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e40550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_preferential_35 = nx.barabasi_albert_graph(35, 1)\n",
    "pos = nx.spring_layout(G_preferential_35, k=0.1)\n",
    "nx.draw_networkx(G_preferential_35, pos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DwwMbN26Eh4eHSNpTUVFBamoq0tPT8eLFC0hLS4OIcOTIEcTExIikD8bY/+ErNyZSGRkZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x103d239b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_preferential_500 = nx.barabasi_albert_graph(500, 1)\n",
    "pos = nx.spring_layout(G_preferential_500)\n",
    "nx.draw_networkx(G_preferential_500, pos, node_size=0, with_labels=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NwDLg5DTmJPnzJN9JcmOSNwEk2SHJp5N8P8kVSS5L8qq2744kf5bkeuDVSZ6R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\nh+DKVJ8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1129f8ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_degree_hist(G, title):\n",
    "    \"\"\"Plot histogram of node degrees.\"\"\"\n",
    "    plt.hist(dict(nx.degree(G)).values(), bins=range(1, 11))\n",
    "    # Label axes\n",
    "    plt.xlabel('Degree')\n",
    "    plt.ylabel('Count')\n",
    "    plt.title(title)\n",
    "    \n",
    "plt.figure(figsize=(7.5, 3.75))\n",
    "ax = plt.subplot(1,2,1)\n",
    "plot_degree_hist(G_preferential_35, '35 Nodes')\n",
    "for spine in ax.spines.values():\n",
    "    spine.set_visible(True)\n",
    "ax = plt.subplot(1,2,2)\n",
    "for spine in ax.spines.values():\n",
    "    spine.set_visible(True)\n",
    "plot_degree_hist(G_preferential_500, '500 Nodes')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Configuration Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Q6ehiWL1xhq+LPXlCQRDTkloko+du/01RhWPSaiAmrQZmeG2Juk4ZHpdRsFNU3bt3p0WL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\nU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mfq1Kl89913bNq0iYMHD/LPP/88UXIqjuQGmXUwJ0+eTHJyMv369WPMmDF06tSJV155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\n1Pl/1Wxuzfc7buIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e1fba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Find degrees of karate club nodes\n",
    "G_karate = nx.karate_club_graph()\n",
    "degree_sequence = dict(nx.degree(G_karate)).values()\n",
    "# Generate a random network with the same node degrees\n",
    "G_configuration = nx.degree_seq.configuration_model(degree_sequence)\n",
    "nx.draw_networkx(G_configuration)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Agent-Based Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initial_beliefs(G, true_value=0, std=15):\n",
    "    \"\"\"Generate estimates of a true value with normally-distributed errors.\"\"\"\n",
    "    beliefs = dict(\n",
    "        (v, random.gauss(true_value, std))\n",
    "        for v in G.nodes())\n",
    "    return beliefs\n",
    "beliefs = initial_beliefs(G_karate, true_value=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def learning_step(G, beliefs):\n",
    "    '''Update each node's beliefs based on its neighbors' beliefs'''\n",
    "    new_beliefs = dict()\n",
    "    for v in G.nodes():\n",
    "        # Include old belief in average\n",
    "        total = beliefs[v]\n",
    "        count = 1\n",
    "        # Update average based on each neighbor\n",
    "        for w in G.neighbors(v):\n",
    "            total += beliefs[w]\n",
    "            count += 1\n",
    "        # Calculate average for node w\n",
    "        new_beliefs[v] = total / count\n",
    "    return new_beliefs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_beliefs(G, initial_beliefs, true_value=0, steps=10):\n",
    "    \"\"\"Plot change in beliefs over time.\"\"\"\n",
    "    current_beliefs = dict(initial_beliefs)\n",
    "    beliefs = [current_beliefs]\n",
    "    # Create dicts of x and y values for each node\n",
    "    x = dict((v, list()) for v in G.nodes())\n",
    "    y = dict((v, list()) for v in G.nodes())\n",
    "    # Repeatedly update beliefs\n",
    "    for i in range(steps + 1):\n",
    "        for v in G.nodes():\n",
    "            x[v].append(i)\n",
    "            y[v].append(current_beliefs[v])\n",
    "        if i < steps:\n",
    "            current_beliefs = learning_step(G, current_beliefs)\n",
    "            beliefs.append(current_beliefs)\n",
    "    # Plot evolution of each node's beliefs\n",
    "    for v in G.nodes():\n",
    "        plt.plot(x[v], y[v], 'b-', alpha=0.3, linewidth=2)\n",
    "    # Plot mean value\n",
    "    mean_value = sum(initial_beliefs.values()) / len(initial_beliefs)\n",
    "    plt.plot([0, steps], [mean_value, mean_value], 'k:')\n",
    "    # Add spines to plot\n",
    "    ax = plt.gca()\n",
    "    for spine in ax.spines.values():\n",
    "        spine.set_visible(True)\n",
    "    plt.xlim([0, steps])\n",
    "    plt.ylim([22, 62])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "networks = {\n",
    "    'Karate Club': G_karate,\n",
    "    'Configuration Model': G_configuration,\n",
    "    'Preferential Attachment': nx.barabasi_albert_graph(34, 1),\n",
    "    'Ring': nx.watts_strogatz_graph(34, 6, 0),\n",
    "    'Watts-Strogatz (p=0.3)': nx.watts_strogatz_graph(34, 6, 0.1),\n",
    "    'Watts-Strogatz (p=1)': nx.watts_strogatz_graph(34, 6, 1)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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d+unTV+f+FArF3KG3l9Ucubms8hobY4O77GwgLY36o6Njru9SoVBMhrgTiuxsvr/UJCtp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nedl1OBRrw9ycS3kNEo+7eJB02rVnljx6RdmrtLayrXMuR1fo3bu0VJw4wfkxMOBqilhLuWEt\nlYqqKlon43FaGaqreS9WQOmR8elPU25IbNTPf855Ltfv7b23IZeiKBsj9MJWZWWc5AcPcmE8d46L\nZ1UV8JOfUEikUk6haG52pW4HB3mT4lfHjt0bdb1Z8nme22/qI9X0JONDWFqikJuacsdIwayqKtfo\nRxoUyXsAPpdMirk5KiOzs87SEUS6IzY28jOK4iA1OBRlvyHzIJdjrFV1NdPBJUX8+nVaKQ8dYirp\n6KjrOHz0KPDlL9MSUV9Pd0dvL8+VTFJ5ePppyhyArpQLF1yMlFTIVBTl/gldocjlaF6MRGiSHBig\n4HjkEe4UBga4qF+/ztK2FRUspfvuu/Rx3rzJvz/8MG+bvXZQcZidLZ7uKUGdCwtUICYmaIlYWnIu\nDT8eQsrqSiEmv5CVKCxB6wRABUsK64jFoaWFSoQfD6EoHxckjbOlxfXw6evjXKyr4zy+do0Kxews\nNx9f/rJT8Ds6aIXo7b333NksNzGjo3ze3EzZo9Y9Rdk6oSsU165RMFRV0RqRy3HyP/ccdxfj41xg\n+/qYN97Z6Wrmv/MOXR9VVYzKXsvPubhYqDzcuUPLQBDJ+igrK7Qg9PdTgfAbfxlD60NrK4WW9AIQ\nxeHOHSofk5PFG4YlEs7a0NpKQdjUVNy1oSgfRzIZbiqModUBoLy4do2Pjx4Fvv995xJpamI1y44O\nBnPPzLgYoiA3b/J9Erd0/PjGGgsqirIxQl3K8nkqCgDdGG+9RevEiRMuQ+Khh6hgDA0xlVS6f87O\nUsH46CNmfDz2mHMrLCww1sFXHiR9U7IvJCtDCj7l84XBjn5gpmAMlZu2NgqsujpXze/WLQqnYhYO\neV9TE3dZooBIBLuiKMW5fJnzqavLxURdvsy52dpKy+VPf8r5XFND98eTT7p4prk5BmZLsDdAuXL+\nPBUKgH979FHts6Eo202oCoWkN4pgmJ/nLqG9nZM9n+fOoqXFlb3t66NyceMG08UWFxk01dHhqtx9\n8EFha3FRHqQwldScyOVcdoe4LaRhVVWVy10XC8LiInPWb91i5c5gjQnANS/zrQ5tbSqsFGWzLC9z\nExGN0gIJcHMgqaHl5bROTE3RxdjeTuWhs5Py5O5dV5FVgqHzeSogMzO0TgJczgAAEJhJREFUShw7\nRmVFUZTtJ/RKmVK5cnCQO5BHH6UAkd2DBGMC7u/19S6FLBplPIMs8END7lx+6WxfeZicdBUk43FX\nnEosCI2NhXUhrl1jJ9QbNwqtDxUVhZ0E29qoSKjLQlG2jqR4SuwUwHgrgMrGhx9yTkYiVCTq6xnc\nXVFBOXDnzr3ujkuXqExUVdGSoS3EFWXnCH0pPHSIFoXbt7kL6e6mJWB8nNaCYnER16/T4nDsGK0a\n5eWMtxAT58mTXNj9wlLxOBWFtjZXFTKZZNxDfT13MH52RS5H4SOZJhJb0dvLMbe18X3a3lpRdgYp\nHX/oEJ9LFsfQEOXCrVt8XcrCd3Xx9bEx11G3utq5O27doos0EqGLVJUJRdlZQlUopPLk0BAn97Fj\n3F2IJaCp6d7KdCMjNHFev05BceSIq10hkeC1tYU1KKLRwvLR0uSrGNksFYmf/pQCzFqO6eRJ4Jd+\niedWFCUcDh+mxS+fZ9zD1auMPZLS+bOztEo0Nrpuwhcu8HiRHakUrZdnz/L5Qw+5dFFFUXaOUBWK\nRIICYmyMZs2DB/n68DDvg3ng1jKGYWDA1V5IJLjzyOeBz36WwiKXoxIgCoRfB2I1MhkKorffpnXE\nWioljz1G0+h6RbIURdleEglaLAHKiffe49w+epTy4gc/4Dzt7qbSUFfHTcrYGC2X9fWct/E48M//\nTGtlOs33Koqy84SqUCwvM1YiHqcyUV/PncTkpGs97DM8zB1Jfz8tCRUVzlIRjfL406c3N4apKfpl\n33+f5lRrOY5Tp5hd4heyUhQlPMrLKQdmZ4HvfIdKf28v8MlPAq+8QsWhvd1VzG1ro7VT3JOxmCvT\nPTHB8508qZlVihIWoSoU2SytCx0dbtcgwZhNTYUVIPN5WidGRniMFHlqbOSOZX6eyoi0Ol4LKc97\n8SJv0gAonaYiceKEKhKKshuYmwO+/nXO6+Zm4Fd/lUrGP/4j5/GnPuUytNramHoOOJdmLMYAboDK\nhJbRVpTwWFehMMZUAPgxgPjK8S9ba//CGHMQwNcANAJ4F8DvWGuL1IJ05HKu46gEX4pCEXR3DA7S\ncvGjH9GykUiw7G5zM10S/f20Vly9SqWgGPk8z3PpEo+bmKBwam3le44fV0VCUbbKdsmI5WXg9dcZ\nU1VVBXzxi5z33/4268ykUqxqef483R0LC7RiSFG6fJ7uUWu5YdlqWX5FUTbHRiwUWQDPWGszxpgY\ngDeNMa8A+BMA/91a+zVjzP8C8HsA/matEy0tcVdx8CAX9vl5ZmqI+0LI57nzePddCpLFReALX6DS\n8cQTdH0cOkTBc/Mm4yj8CO6lJSobly8zyntigjuXAweYhnr0qMZIKMo2si0yIpNhwHVNDfDMM1Qg\nlpaAV1/l3z//ebosAcqRwUE+rq6mnLh9m3KlttZV2VQUJTzWTYK0JLPyNLZyswCeAfDyyusvAfi1\n9c6Vz9NlIYVlxDrR0lLYt+LMGe5CbtygQHn4YaaYPvWUy09PJFxxKynLOz/PQMvvfY8+17ffpgm1\npwf4lV/hjucXfkGVCUXZTrZLRiwvu5Lbx4/ztVdfpaKQTLJTsaSOptMumDsepzXz7l3Kkcce0/Ru\nRSkFG4qhMMZEQZPlIQB/DaAPwLS1NrdyyBCAor36jDF/AOAPAKCx8UF0drr0LhEIUsxqeZlWiTff\n5I5jepoBk5/6FN0cwWZZhw65DqRilRgepkWipoYppkePUhlRJUJRdo77lRG+fEilHkRPD+dtPM5C\nVa+/TiXjl3+Z1olcju6OmRnKi4YGl1b+4IPcfOhcV5TSsCGFwlq7DOCEMSYJ4FsAHtroBay1LwJ4\nEQAOHz5tJVVUGmrFYvR1LiwAP/sZi15JJ9C6OvpCn3+++I6jutqV8f6nf6IiUV9PoXL4sCoSihIW\n9ysjgvKhspJz3lpaKm/douvjmWcYNwVwzg8M8HEqxQ2ItdxgaFltRSkdm8rysNZOG2POAPhFAElj\nTNnKDqQDwPB6749GXaEosU60tFCBEPdEXx+Vh1yOysELL6xtvmxpAd54gy6Q3l4KI1UkFKU0bFVG\nHD1KOXHjBjcYkQitk7W1zt1RW8v4qGiUaaOZDF0gJ0/u5CdTFGU91vU0GmPSK7sOGGMSAP41gA8A\nnAHwb1YO+xKA76x3Lj9wUuInAFoXslnuQKJRxlokk9xx9Paufc6bN2kiPX2aZtFTp1SZUJQw2S4Z\nUVVF92c2y6DskRFuGJ58kjUocjkqExKYWVXFWCsAePrpwrRzRVHCZyMWilYAL634SCMAvm6t/Z4x\n5hKArxlj/guA9wH83XonEkvDzAzzzKXUNcCAyulpKhTSMfD06bUbb83NcdcSiXB3EizbrShKKGyL\njCgrY7zEpUsu0PrIEboxLlxYudCKizOXo4tzZoZKyOHDO/bZFEXZIOsqFNbacwDuMSZaa/sBPH4/\nF71+nZ0DpeiMMYzSNoZldQcH6cJYrb6Efx6A6aSqTChKadhOGTE5SXfG8DCVB+lGPDrKv5eV0YIx\nOur6eTzwgPbcUZTdQOjJVZkMa/JLq+HycgqIyUnuRvJ5Rm8fO7a2kMjlXGCWBHoqirK3OXeObsxY\njGnhPT3stSPujslJuj8iEZcSLt1FFUUpLaEqFLkc60PMzDDOob6e6Z7j41QmUikKi3ic9SLWYnCQ\n52to0E6CirIfyGY5/yXtW7qKSrxVKsVCdYODfJxOU1aoQqEou4NQFYq5OQqMqioqAouL3Gk0NfG1\nO3eYPtrV5UpzF8NaChZAOwkqyn5hYYGBmJWVlAk9PZzr4u7I5ZgFJsqG1KVJpUo3ZkVRHKEqFBKA\nubhIC0VtLXcg5eVUKIaGaOo8fXrtVNHxcSonFRWMAlcUZe+Tz/OWy3FD0dlZ6O547z0Gb3d10R2S\ny1GOJBKlHrmiKEDICkVZGQVEJEKh0NvrnmezzPJoaVk/JkKsEwcPamtiRdkv5PNUDhoaqDAkEs7d\nsbDAtPJYjEWupqf5ulonFGX3EKpCMT/PgMsjR5hb3tfH15NJKgmRCKO6pV9HMcRtEomw2ZeiKPuD\nsjIqCq2tnNv5PNPCFxdZQRdgbFVDAzcigMZPKMpuIvSgzHSaTX5mZugblUJW4+PsOHro0NrnEOtE\nR4emiirKfmJ5mUGWtbW0VI6PU5kYGaGiUVvLAla5HBuGGUOXqaIou4NQFYpYjG6OujrmmgMMvurr\no5Do6VlbQORyrmWxpooqyv5ieZlFqjo6aIEcGeGmY3aWysOpUy511FpaNrU6pqLsHkJVKMrLWYRq\ncpK7j7IyZ9ZMp9mDYy0kVbSxUQvZKMp+Q4Kzxd3R18dA7VyOGwiphjkxwXuNn1CU3UXoha3a2px1\noq2N1S7n5rgr6ehY/X1+qqhaJxRlf5JMcrMwOsq4iUiE9WpSKcoLQOMnFGW3EqpCEY0yMHNqiruR\nfJ6Co6GBsRNr9e2QVNFEQlNFFWW/0tnJ+5/8hJlflZV8ra3Nld2enaUsqa8v7VgVRSkkVIWiosJZ\nJzo7WTp7cpLCort77feKdaK7W1NFFWU/kkjQJTo4SOuEMXR/RCJO0RB3R2Pj2rVqFEUJn9ALW925\nQ8Uin2f6Z10dhUVNzervy2Q0VVRR9jvl5SzF/+abDNBsb2dMRVWVC9YWd4fGTyjK7iNUhWJhgffS\nUXRsjDnn61knpKuopooqyv7mvfcoFyRuAnDWCUDjJxRlNxOqQpHP0ydqLV0dsRiFxloxEUtLmiqq\nKB8HFhYoF+bmaJ3I5+n2EIUik+Ex8fjaFk1FUUpD6F7Inh5aHMbGGDvR1bV2TISmiirKx4NslgXv\nurro8qiooCVCKuf67g6No1KU3UeoCkUkQuvEzAwr4CWTa8dEWOvcHdpVVFH2PzU13DgsL/O5Lx+0\n/oSi7G5CVSgSCTb4GR9n7ERr69p9O8bGXKpoc3N441QUJXziccZIZTLuscx7a51CofETirI7CT2G\nIpNhHnl9vXYVVRTFUVZGy8T8PDcRUoIbYC+PXI4ZH9quXFF2J6EqFNksm/qkUkwXbWhY/dhMhpaM\naFRTRRXl48DSEhUKa/m8mLtDrROKsnsJ3UIxPc0Ay40Wsmpv1wZAivJxYGnJdRVNJgszObT+hKLs\nfoyV7UAYFzNmFsCV0C64PaQATJR6EPeBjjs89uKYAeCItXbXJGDuUfkA7N3vfy+Oey+OGdib4960\nfFije8aOcMVaezrka24JY8w7e23MgI47TPbimAGOu9RjCLDn5AOwt7//vTbuvThmYG+O+37kg1bD\nVxRFURRly6hCoSiKoijKlglboXgx5OttB3txzICOO0z24piB3Tfu3TaejaLjDo+9OGZgb45702MO\nNShTURRFUZT9ibo8FEVRFEXZMqpQKIqiKIqyZUJRKIwxnzPGXDHGXDPG/FkY19wqxphOY8wZY8wl\nY8xFY8wfl3pMG8UYEzXGvG+M+V6px7JRjDFJY8zLxpjLxpgPjDG/WOoxbQRjzH9Y+X1cMMb8gzFm\nje40pcEY81VjzJgx5oL3WoMx5jVjzNWV+/oSj1FlRIiojAiHvSAfgO2TETuuUBhjogD+GsDnARwD\n8FvGmGM7fd1tIAfgT621xwA8CeAP98i4AeCPAXxQ6kFskv8J4FVr7UMAHsUeGL8xph3AvwNw2lp7\nHEAUwBdLO6qi/B8Anwu89mcAXrfWHgbw+srzkqAyoiSojNhh9pB8ALZJRoRhoXgcwDVrbb+1dhHA\n1wA8H8J1t4S1dsRa+97K41nwx9te2lGtjzGmA8CzAP621GPZKMaYOgCfBPB3AGCtXbTWTpd2VBum\nDEDCGFMGoBLAzRKP5x6stT8GMBV4+XkAL608fgnAr4U6qEJURoSIyohQ2fXyAdg+GRGGQtEOYNB7\nPoQ9MOl8jDHdAE4CeKu0I9kQ/wPAfwSQL/VANsFBAOMA/veKGfZvjTFVpR7UelhrhwH8VwADAEYA\n3LHW/r/SjmrDNFtrR1YejwJoLuFYVEaEi8qIENjj8gG4DxmhQZnrYIypBvANAP/eWjtT6vGshTHm\nCwDGrLXvlnosm6QMwCkAf2OtPQlgDiU0wW+UFZ/i86CwawNQZYz57dKOavNY5o5r/vh9ojIiFPac\njNgv8gHYuIwIQ6EYBtDpPe9YeW3XY4yJgYLi76213yz1eDbA0wCeM8ZcB83Gzxhj/m9ph7QhhgAM\nWWtld/cyKDx2O58F8JG1dtxauwTgmwCeKvGYNsotY0wrAKzcj5VwLCojwkNlRHjsZfkA3IeMCEOh\neBvAYWPMQWNMORiU8t0QrrsljDEG9Nd9YK39b6Uez0aw1v4na22HtbYb/D//0Fq76zVia+0ogEFj\nzJGVlz4D4FIJh7RRBgA8aYypXPm9fAa7PFDM47sAvrTy+EsAvlPCsaiMCAmVEaGyl+UDcB8yYse7\njVprc8aYPwLwAzDK9avW2os7fd1t4GkAvwPgvDHm7Mpr/9la+/0Sjmk/828B/P3KgtIP4HdLPJ51\nsda+ZYx5GcB7YMT/+9iFJXaNMf8A4F8BSBljhgD8BYCvAPi6Meb3ANwA8EKpxqcyQtkge0pG7BX5\nAGyfjNDS24qiKIqibBkNylQURVEUZcuoQqEoiqIoypZRhUJRFEVRlC2jCoWiKIqiKFtGFQpFURRF\nUbaMKhSKoiiKomwZVSgURVEURdky/x++33ixKTapBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114be6e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, (title, G) in enumerate(networks.items()):\n",
    "    plt.subplot(3, 2, i + 1)\n",
    "    plt.title(title)\n",
    "    plot_beliefs(G, beliefs, 42)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
